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132210133213230 = 23453311228140153
BaseRepresentation
bin11110000011111010010010…
…000001101010000000101110
3122100010011110111120101120000
4132003322102001222000232
5114312112323100310410
61145104255143005130
736563603231101332
oct3603722201520056
9570104414511500
10132210133213230
11391430035402a6
12129b32621397a6
1358a04925c8087
14249100c84b7c2
15104415041ddc0
hex783e9206a02e

132210133213230 has 160 divisors (see below), whose sum is σ = 356610286901088. Its totient is φ = 35145784396800.

The previous prime is 132210133213199. The next prime is 132210133213241. The reversal of 132210133213230 is 32312331012231.

132210133213230 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 0 + 1 + 332 + 1 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132210133213194 and 132210133213203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3292638834 + ... + 3292678986.

Almost surely, 2132210133213230 is an apocalyptic number.

132210133213230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132210133213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178305143450544).

132210133213230 is an abundant number, since it is smaller than the sum of its proper divisors (224400153687858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132210133213230 is a wasteful number, since it uses less digits than its factorization.

132210133213230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52784 (or 52775 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132210133213230 its reverse (32312331012231), we get a palindrome (164522464225461).

The spelling of 132210133213230 in words is "one hundred thirty-two trillion, two hundred ten billion, one hundred thirty-three million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 331 405 662 810 993 1655 1986 2979 3310 4965 5958 8937 9930 12281 14895 17874 24562 26811 29790 36843 40153 44685 53622 61405 73686 80306 89370 110529 120459 122810 134055 184215 200765 221058 240918 268110 331587 361377 368430 401530 552645 602295 663174 722754 994761 1084131 1105290 1204590 1657935 1806885 1989522 2168262 3252393 3315870 3613770 4065011 4973805 5420655 6504786 8130022 9947610 10841310 12195033 13290643 16261965 20325055 24390066 26581286 32523930 36585099 39871929 40650110 60975165 66453215 73170198 79743858 109755297 119615787 121950330 132906430 182925495 199359645 219510594 239231574 329265891 358847361 365850990 398719290 493118993 548776485 598078935 658531782 717694722 986237986 1076542083 1097552970 1196157870 1479356979 1646329455 1794236805 2153084166 2465594965 2958713958 3292658910 3588473610 4438070937 4931189930 5382710415 7396784895 8876141874 10765420830 13314212811 14793569790 22190354685 26628425622 39942638433 44380709370 66571064055 79885276866 133142128110 163222386683 199713192165 326444773366 399426384330 489667160049 816111933415 979334320098 1469001480147 1632223866830 2448335800245 2938002960294 4407004440441 4896671600490 7345007400735 8814008880882 13221013321323 14690014801470 22035022202205 26442026642646 44070044404410 66105066606615 132210133213230