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31140131112 = 23322328976491
BaseRepresentation
bin11101000000000110…
…001011000100101000
32222101012122120020100
4131000012023010220
51002233333143422
622150001025400
72151452514156
oct350006130450
988335576210
1031140131112
111222a879452
126050925260
132c236571ac
141715a323d6
15c23c8a7ac
hex74018b128

31140131112 has 96 divisors (see below), whose sum is σ = 88048658880. Its totient is φ = 9923781120.

The previous prime is 31140131083. The next prime is 31140131119. The reversal of 31140131112 is 21113104113.

It is a happy number.

31140131112 is a `hidden beast` number, since 311 + 40 + 1 + 311 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31140131119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4794187 + ... + 4800677.

It is an arithmetic number, because the mean of its divisors is an integer number (917173530).

Almost surely, 231140131112 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 31140131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44024329440).

31140131112 is an abundant number, since it is smaller than the sum of its proper divisors (56908527768).

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

31140131112 is a wasteful number, since it uses less digits than its factorization.

31140131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31140131112 its reverse (21113104113), we get a palindrome (52253235225).

The spelling of 31140131112 in words is "thirty-one billion, one hundred forty million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2897 5794 6491 8691 11588 12982 17382 19473 23176 25964 26073 34764 38946 51928 52146 58419 66631 69528 77892 104292 116838 133262 149293 155784 199893 208584 233676 266524 298586 399786 447879 467352 533048 597172 599679 799572 895758 1194344 1199358 1343637 1599144 1791516 2398716 2687274 3583032 4797432 5374548 10749096 18804427 37608854 56413281 75217708 112826562 150435416 169239843 225653124 338479686 432501821 451306248 676959372 865003642 1297505463 1353918744 1730007284 2595010926 3460014568 3892516389 5190021852 7785032778 10380043704 15570065556 31140131112