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210132211320 = 233251123519769
BaseRepresentation
bin1100001110110011011…
…0110001011001111000
3202002101110211100110100
43003230312301121320
511420322321230240
6240311114315400
721116162216463
oct3035466613170
9662343740410
10210132211320
1181131178569
1234884a28b60
1316a7a51a7a5
14a255a1c2da
1556ecc4ae30
hex30ecdb1678

210132211320 has 96 divisors (see below), whose sum is σ = 683539131600. Its totient is φ = 55985250816.

The previous prime is 210132211301. The next prime is 210132211337. The reversal of 210132211320 is 23112231012.

210132211320 is a `hidden beast` number, since 2 + 1 + 0 + 132 + 211 + 320 = 666.

It is a super-2 number, since 2×2101322113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210132211293 and 210132211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144396 + ... + 664164.

Almost surely, 2210132211320 is an apocalyptic number.

210132211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210132211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341769565800).

210132211320 is an abundant number, since it is smaller than the sum of its proper divisors (473406920280).

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

210132211320 is a wasteful number, since it uses less digits than its factorization.

210132211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520909 (or 520902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210132211320 its reverse (23112231012), we get a palindrome (233244442332).

The spelling of 210132211320 in words is "two hundred ten billion, one hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1123 2246 3369 4492 5615 6738 8984 10107 11230 13476 16845 20214 22460 26952 33690 40428 44920 50535 67380 80856 101070 134760 202140 404280 519769 1039538 1559307 2079076 2598845 3118614 4158152 4677921 5197690 6237228 7796535 9355842 10395380 12474456 15593070 18711684 20790760 23389605 31186140 37423368 46779210 62372280 93558420 187116840 583700587 1167401174 1751101761 2334802348 2918502935 3502203522 4669604696 5253305283 5837005870 7004407044 8755508805 10506610566 11674011740 14008814088 17511017610 21013221132 23348023480 26266526415 35022035220 42026442264 52533052830 70044070440 105066105660 210132211320