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31321241172 = 223213222722679
BaseRepresentation
bin11101001010111001…
…000011011001010100
32222211211102220112100
4131022321003121110
51003121214204142
622215550522100
72156112104634
oct351271033124
988754386470
1031321241172
111231302a091
1260a1506330
132c52029400
141731ad86c4
15c34b12b4c
hex74ae43654

31321241172 has 108 divisors (see below), whose sum is σ = 86113329120. Its totient is φ = 9594426816.

The previous prime is 31321241117. The next prime is 31321241177. The reversal of 31321241172 is 27114212313.

31321241172 is a `hidden beast` number, since 31 + 3 + 212 + 411 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321241177) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1369729 + ... + 1392407.

It is an arithmetic number, because the mean of its divisors is an integer number (797345640).

Almost surely, 231321241172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321241172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43056664560).

31321241172 is an abundant number, since it is smaller than the sum of its proper divisors (54792087948).

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

31321241172 is a wasteful number, since it uses less digits than its factorization.

31321241172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22942 (or 22924 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

Adding to 31321241172 its reverse (27114212313), we get a palindrome (58435453485).

The spelling of 31321241172 in words is "thirty-one billion, three hundred twenty-one million, two hundred forty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 227 234 338 454 468 507 676 681 908 1014 1362 1521 2028 2043 2724 2951 3042 4086 5902 6084 8172 8853 11804 17706 22679 26559 35412 38363 45358 53118 68037 76726 90716 106236 115089 136074 153452 204111 230178 272148 294827 345267 408222 460356 589654 690534 816444 884481 1179308 1381068 1768962 2653443 3537924 3832751 5148133 5306886 7665502 10296266 10613772 11498253 15331004 15444399 20592532 22996506 30888798 34494759 45993012 46333197 61777596 66925729 68989518 92666394 133851458 137979036 185332788 200777187 267702916 401554374 602331561 803108748 870034477 1204663122 1740068954 2409326244 2610103431 3480137908 5220206862 7830310293 10440413724 15660620586 31321241172