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102132322212 = 223431391738231
BaseRepresentation
bin101111100011110001…
…1111000111110100100
3100202121202222112102110
41133013203320332210
53133131333302322
6114530254041020
710243635262224
oct1370743707644
9322552875373
10102132322212
113a350040368
1217963aa9170
13982850656b
144d2c322084
1529cb538c0c
hex17c78f8fa4

102132322212 has 96 divisors (see below), whose sum is σ = 247054832640. Its totient is φ = 32818343040.

The previous prime is 102132322199. The next prime is 102132322213. The reversal of 102132322212 is 212223231201.

It is a super-2 number, since 2×1021323222122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102132322213) 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, 12404137 + ... + 12412367.

It is an arithmetic number, because the mean of its divisors is an integer number (2573487840).

Almost surely, 2102132322212 is an apocalyptic number.

102132322212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132322212 is an abundant number, since it is smaller than the sum of its proper divisors (144922510428).

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

102132322212 is a wasteful number, since it uses less digits than its factorization.

102132322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102132322212 its reverse (212223231201), we get a palindrome (314355553413).

The spelling of 102132322212 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 139 172 173 258 278 346 417 516 519 556 692 834 1038 1668 2076 5977 7439 8231 11954 14878 16462 17931 22317 23908 24047 24693 29756 32924 35862 44634 48094 49386 71724 72141 89268 96188 98772 144282 288564 353933 707866 1034021 1061799 1144109 1415732 1423963 2068042 2123598 2288218 2847926 3102063 3432327 4136084 4247196 4271889 4576436 5695852 6204126 6864654 8543778 12408252 13729308 17087556 49196687 61230409 98393374 122460818 147590061 183691227 196786748 197930857 244921636 295180122 367382454 395861714 590360244 593792571 734764908 791723428 1187585142 2375170284 8511026851 17022053702 25533080553 34044107404 51066161106 102132322212