Search a number
-
+
31133021232 = 2431096019901
BaseRepresentation
bin11100111111101011…
…000011010000110000
32222100201021100022110
4130333223003100300
51002230023134412
622145144405320
72151335212515
oct347753032060
988321240273
1031133021232
1112226862715
12604a476840
132c22037c71
141714b0130c
15c23333d3c
hex73fac3430

31133021232 has 80 divisors (see below), whose sum is σ = 81308094560. Its totient is φ = 10264320000.

The previous prime is 31133021189. The next prime is 31133021233. The reversal of 31133021232 is 23212033113.

It is a super-2 number, since 2×311330212322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31133021199 and 31133021208.

It is not an unprimeable number, because it can be changed into a prime (31133021233) 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, 3139482 + ... + 3149382.

It is an arithmetic number, because the mean of its divisors is an integer number (1016351182).

Almost surely, 231133021232 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 31133021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40654047280).

31133021232 is an abundant number, since it is smaller than the sum of its proper divisors (50175073328).

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

31133021232 is a wasteful number, since it uses less digits than its factorization.

31133021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31133021232 its reverse (23212033113), we get a palindrome (54345054345).

The spelling of 31133021232 in words is "thirty-one billion, one hundred thirty-three million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 601 654 872 1202 1308 1744 1803 2404 2616 3606 4808 5232 7212 9616 9901 14424 19802 28848 29703 39604 59406 65509 79208 118812 131018 158416 196527 237624 262036 393054 475248 524072 786108 1048144 1079209 1572216 2158418 3144432 3237627 4316836 5950501 6475254 8633672 11901002 12950508 17267344 17851503 23802004 25901016 35703006 47604008 51802032 71406012 95208016 142812024 285624048 648604609 1297209218 1945813827 2594418436 3891627654 5188836872 7783255308 10377673744 15566510616 31133021232