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10031213322 = 2321342868433
BaseRepresentation
bin10010101011110100…
…00010101100001010
3221220002111102202100
421111322002230022
5131020442311242
64335215414230
7503403622614
oct112572025412
927802442670
1010031213322
1142883a4049
121b3b524376
13c3b2c87b0
146b2369db4
153da9c654c
hex255e82b0a

10031213322 has 24 divisors (see below), whose sum is σ = 23406164964. Its totient is φ = 3086527104.

The previous prime is 10031213279. The next prime is 10031213323. The reversal of 10031213322 is 22331213001.

10031213322 is a `hidden beast` number, since 100 + 31 + 213 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8428892481 + 1602320841 = 91809^2 + 40029^2 .

It is a super-2 number, since 2×100312133222 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10031213295 and 10031213304.

It is not an unprimeable number, because it can be changed into a prime (10031213323) 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, 21433983 + ... + 21434450.

Almost surely, 210031213322 is an apocalyptic number.

10031213322 is an abundant number, since it is smaller than the sum of its proper divisors (13374951642).

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

10031213322 is a wasteful number, since it uses less digits than its factorization.

10031213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42868454 (or 42868451 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031213322 its reverse (22331213001), we get a palindrome (32362426323).

The spelling of 10031213322 in words is "ten billion, thirty-one million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 42868433 85736866 128605299 257210598 385815897 557289629 771631794 1114579258 1671868887 3343737774 5015606661 10031213322