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102231212232 = 23337616472917
BaseRepresentation
bin101111100110101110…
…1001000000011001000
3100202212200001200000210
41133031131020003020
53133332142242412
6114544145401120
710246245652302
oct1371535100310
9322780050023
10102231212232
113a3a0943956
12179910391a0
139842b4ba76
144d3b504972
1529d506e83c
hex17cd7480c8

102231212232 has 128 divisors (see below), whose sum is σ = 267292535040. Its totient is φ = 32550958080.

The previous prime is 102231212227. The next prime is 102231212267. The reversal of 102231212232 is 232212132201.

It is a junction number, because it is equal to n+sod(n) for n = 102231212199 and 102231212208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35045238 + ... + 35048154.

It is an arithmetic number, because the mean of its divisors is an integer number (2088222930).

Almost surely, 2102231212232 is an apocalyptic number.

102231212232 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 102231212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133646267520).

102231212232 is an abundant number, since it is smaller than the sum of its proper divisors (165061322808).

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

102231212232 is a wasteful number, since it uses less digits than its factorization.

102231212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3667 counting only the distinct ones).

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

Adding to 102231212232 its reverse (232212132201), we get a palindrome (334443344433).

The spelling of 102231212232 in words is "one hundred two billion, two hundred thirty-one million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 647 732 888 1294 1464 1941 2257 2588 2917 3882 4514 5176 5834 6771 7764 8751 9028 11668 13542 15528 17502 18056 23336 23939 27084 35004 39467 47878 54168 70008 71817 78934 95756 107929 118401 143634 157868 177937 191512 215858 236802 287268 315736 323787 355874 431716 473604 533811 574536 647574 711748 863432 947208 1067622 1295148 1423496 1460279 1887299 2135244 2590296 2920558 3774598 4270488 4380837 5661897 5841116 6583669 7549196 8761674 11323794 11682232 13167338 15098392 17523348 19751007 22647588 26334676 35046696 39502014 45295176 52669352 69830063 79004028 115125239 139660126 158008056 209490189 230250478 279320252 345375717 418980378 460500956 558640504 690751434 837960756 921001912 1381502868 1675921512 2763005736 4259633843 8519267686 12778901529 17038535372 25557803058 34077070744 51115606116 102231212232