Search a number
-
+
31012111232 = 27894336287
BaseRepresentation
bin11100111000011101…
…110100001110000000
32222001021202110222022
4130320131310032000
51002003100024412
622125145101012
72145336411314
oct347035641600
988037673868
1031012111232
111217458a1a3
126015a87768
132c02c82a9b
141702a29b44
15c178eda72
hex738774380

31012111232 has 64 divisors (see below), whose sum is σ = 62630366400. Its totient is φ = 15293988864.

The previous prime is 31012111231. The next prime is 31012111261. The reversal of 31012111232 is 23211121013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31012111232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012111231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4929593 + ... + 4935879.

It is an arithmetic number, because the mean of its divisors is an integer number (978599475).

Almost surely, 231012111232 is an apocalyptic number.

31012111232 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 31012111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31315183200).

31012111232 is an abundant number, since it is smaller than the sum of its proper divisors (31618255168).

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

31012111232 is an equidigital number, since it uses as much as digits as its factorization.

31012111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31012111232 its reverse (23211121013), we get a palindrome (54223232245).

The spelling of 31012111232 in words is "thirty-one billion, twelve million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 433 712 866 1424 1732 2848 3464 5696 6287 6928 11392 12574 13856 25148 27712 38537 50296 55424 77074 100592 154148 201184 308296 402368 559543 616592 804736 1119086 1233184 2238172 2466368 2722271 4476344 4932736 5444542 8952688 10889084 17905376 21778168 35810752 43556336 71621504 87112672 174225344 242282119 348450688 484564238 969128476 1938256952 3876513904 7753027808 15506055616 31012111232