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213331130320 = 245711223155299
BaseRepresentation
bin1100011010101110000…
…1101011011111010000
3202101122102011021100211
43012223201223133100
511443400232132240
6242000350253504
721261354455110
oct3065341533720
9671572137324
10213331130320
1182522952780
12354181b7294
131716a19b279
14a47a805040
1558389d3bea
hex31ab86b7d0

213331130320 has 160 divisors (see below), whose sum is σ = 621160243200. Its totient is φ = 66194219520.

The previous prime is 213331130303. The next prime is 213331130347. The reversal of 213331130320 is 23031133312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213331130291 and 213331130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296031 + ... + 1451329.

It is an arithmetic number, because the mean of its divisors is an integer number (3882251520).

Almost surely, 2213331130320 is an apocalyptic number.

213331130320 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 213331130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310580121600).

213331130320 is an abundant number, since it is smaller than the sum of its proper divisors (407829112880).

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

213331130320 is a wasteful number, since it uses less digits than its factorization.

213331130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155553 (or 155547 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213331130320 its reverse (23031133312), we get a palindrome (236362263632).

The spelling of 213331130320 in words is "two hundred thirteen billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 223 280 308 385 440 446 560 616 770 880 892 1115 1232 1540 1561 1784 2230 2453 3080 3122 3568 4460 4906 6160 6244 7805 8920 9812 12265 12488 15610 17171 17840 19624 24530 24976 31220 34342 39248 49060 62440 68684 85855 98120 124880 137368 155299 171710 196240 274736 310598 343420 621196 686840 776495 1087093 1242392 1373680 1552990 1708289 2174186 2484784 3105980 3416578 4348372 5435465 6211960 6833156 8541445 8696744 10870930 11958023 12423920 13666312 17082890 17393488 21741860 23916046 27332624 34165780 34631677 43483720 47832092 59790115 68331560 69263354 86967440 95664184 119580230 136663120 138526708 173158385 191328368 239160460 242421739 277053416 346316770 380948447 478320920 484843478 554106832 692633540 761896894 956641840 969686956 1212108695 1385267080 1523793788 1904742235 1939373912 2424217390 2666639129 2770534160 3047587576 3809484470 3878747824 4848434780 5333278258 6095175152 7618968940 9696869560 10666556516 13333195645 15237937880 19393739120 21333113032 26666391290 30475875760 42666226064 53332782580 106665565160 213331130320