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13212121032 = 23331119927943
BaseRepresentation
bin11000100111000000…
…01111011111001000
31021002202221021211000
430103200033133020
5204024300333112
610023005335000
7645260114205
oct142340173710
937082837730
1013212121032
11566a9970a0
122688867460
1313273110c6
148d49c4cac
15524da27dc
hex31380f7c8

13212121032 has 128 divisors (see below), whose sum is σ = 40239360000. Its totient is φ = 3983411520.

The previous prime is 13212121003. The next prime is 13212121033. The reversal of 13212121032 is 23012121231.

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 = 13212120996 and 13212121014.

It is not an unprimeable number, because it can be changed into a prime (13212121033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458853 + ... + 486795.

It is an arithmetic number, because the mean of its divisors is an integer number (314370000).

Almost surely, 213212121032 is an apocalyptic number.

13212121032 is a gapful number since it is divisible by the number (12) 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 13212121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119680000).

13212121032 is an abundant number, since it is smaller than the sum of its proper divisors (27027238968).

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

13212121032 is a wasteful number, since it uses less digits than its factorization.

13212121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28168 (or 28158 counting only the distinct ones).

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

Adding to 13212121032 its reverse (23012121231), we get a palindrome (36224242263).

The spelling of 13212121032 in words is "thirteen billion, two hundred twelve million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 199 216 264 297 396 398 594 597 792 796 1188 1194 1592 1791 2189 2376 2388 3582 4378 4776 5373 6567 7164 8756 10746 13134 14328 17512 19701 21492 26268 27943 39402 42984 52536 55886 59103 78804 83829 111772 118206 157608 167658 223544 236412 251487 307373 335316 472824 502974 614746 670632 754461 922119 1005948 1229492 1508922 1844238 2011896 2458984 2766357 3017844 3688476 5532714 5560657 6035688 7376952 8299071 11065428 11121314 16598142 16681971 22130856 22242628 33196284 33363942 44485256 50045913 61167227 66392568 66727884 100091826 122334454 133455768 150137739 183501681 200183652 244668908 300275478 367003362 400367304 489337816 550505043 600550956 734006724 1101010086 1201101912 1468013448 1651515129 2202020172 3303030258 4404040344 6606060516 13212121032