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102213011232 = 25321093256021
BaseRepresentation
bin101111100110001011…
…1101100011100100000
3100202211101210221221200
41133030113230130200
53133313012324412
6114542255321200
710245635155203
oct1371427543440
9322741727850
10102213011232
113a391642202
1217986b20200
13983c148447
144d38d2793a
1529d36769dc
hex17cc5ec720

102213011232 has 72 divisors (see below), whose sum is σ = 293335021980. Its totient is φ = 33758415360.

The previous prime is 102213011167. The next prime is 102213011269. The reversal of 102213011232 is 232110312201.

It can be written as a sum of positive squares in 2 ways, for example, as 96246375696 + 5966635536 = 310236^2 + 77244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1022130112322 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596619 + ... + 1659402.

Almost surely, 2102213011232 is an apocalyptic number.

102213011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213011232 is an abundant number, since it is smaller than the sum of its proper divisors (191122010748).

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

102213011232 is a wasteful number, since it uses less digits than its factorization.

102213011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256146 (or 3256135 counting only the distinct ones).

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

Adding to 102213011232 its reverse (232110312201), we get a palindrome (334323323433).

The spelling of 102213011232 in words is "one hundred two billion, two hundred thirteen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 3256021 6512042 9768063 13024084 19536126 26048168 29304189 39072252 52096336 58608378 78144504 104192672 117216756 156289008 234433512 312578016 354906289 468867024 709812578 937734048 1064718867 1419625156 2129437734 2839250312 3194156601 4258875468 5678500624 6388313202 8517750936 11357001248 12776626404 17035501872 25553252808 34071003744 51106505616 102213011232