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31312202112 = 273229392767
BaseRepresentation
bin11101001010010110…
…100100100110000000
32222211012102200021100
4131022112210212000
51003111410431422
622215025054400
72155642216662
oct351226444600
988735380240
1031312202112
1112308a15994
12609a487400
132c501b3059
141730824532
15c33e297ac
hex74a5a4980

31312202112 has 96 divisors (see below), whose sum is σ = 90412620480. Its totient is φ = 10401666048.

The previous prime is 31312202111. The next prime is 31312202137. The reversal of 31312202112 is 21120221313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×313122021122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312202111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291153 + ... + 383919.

It is an arithmetic number, because the mean of its divisors is an integer number (941798130).

Almost surely, 231312202112 is an apocalyptic number.

31312202112 is a gapful number since it is divisible by the number (32) 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 31312202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45206310240).

31312202112 is an abundant number, since it is smaller than the sum of its proper divisors (59100418368).

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

31312202112 is a wasteful number, since it uses less digits than its factorization.

31312202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93080 (or 93065 counting only the distinct ones).

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

Adding to 31312202112 its reverse (21120221313), we get a palindrome (52432423425).

The spelling of 31312202112 in words is "thirty-one billion, three hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 293 384 576 586 879 1152 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 18752 21096 28128 37504 42192 56256 84384 92767 112512 168768 185534 278301 337536 371068 556602 742136 834903 1113204 1484272 1669806 2226408 2968544 3339612 4452816 5937088 6679224 8905632 11874176 13358448 17811264 26716896 27180731 35622528 53433792 54361462 81542193 106867584 108722924 163084386 217445848 244626579 326168772 434891696 489253158 652337544 869783392 978506316 1304675088 1739566784 1957012632 2609350176 3479133568 3914025264 5218700352 7828050528 10437400704 15656101056 31312202112