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31112022112 = 2519971314027
BaseRepresentation
bin11100111110011010…
…111100100001100000
32222022020202110221021
4130332122330201200
51002204134201422
622143114335224
72150661552553
oct347632744140
988266673837
1031112022112
1112215a1a776
12604342a514
132c1a894b52
141711dd669a
15c21586dc7
hex73e6bc860

31112022112 has 96 divisors (see below), whose sum is σ = 65653822080. Its totient is φ = 14470410240.

The previous prime is 31112022103. The next prime is 31112022119. The reversal of 31112022112 is 21122021113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112022119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7723843 + ... + 7727869.

It is an arithmetic number, because the mean of its divisors is an integer number (683893980).

Almost surely, 231112022112 is an apocalyptic number.

31112022112 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 31112022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32826911040).

31112022112 is an abundant number, since it is smaller than the sum of its proper divisors (34541799968).

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

31112022112 is a wasteful number, since it uses less digits than its factorization.

31112022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 31112022112 its reverse (21122021113), we get a palindrome (52234043225).

Subtracting from 31112022112 its reverse (21122021113), we obtain a palindrome (9990000999).

The spelling of 31112022112 in words is "thirty-one billion, one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 97 131 152 194 262 304 388 524 608 776 1048 1552 1843 2096 2489 3104 3686 4027 4192 4978 7372 8054 9956 12707 14744 16108 19912 25414 29488 32216 39824 50828 58976 64432 76513 79648 101656 128864 153026 203312 241433 306052 390619 406624 482866 527537 612104 781238 965732 1055074 1224208 1562476 1931464 2110148 2448416 3124952 3862928 4220296 6249904 7421761 7725856 8440592 10023203 12499808 14843522 16881184 20046406 29687044 40092812 51171089 59374088 80185624 102342178 118748176 160371248 204684356 237496352 320742496 409368712 818737424 972250691 1637474848 1944501382 3889002764 7778005528 15556011056 31112022112