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10031033032 = 231816927509
BaseRepresentation
bin10010101011110010…
…10110101011001000
3221220002011021102221
421111321112223020
5131020421024112
64335211503424
7503402242156
oct112571265310
927802137387
1010031033032
114288290649
121b3b457b74
13c3b264707
146b23203d6
153da98ce07
hex255e56ac8

10031033032 has 16 divisors (see below), whose sum is σ = 18912102300. Its totient is φ = 4987805760.

The previous prime is 10031033011. The next prime is 10031033057. The reversal of 10031033032 is 23033013001.

10031033032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10029221316 + 1811716 = 100146^2 + 1346^2 .

It is a super-2 number, since 2×100310330322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031032997 and 10031033015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3462307 + ... + 3465202.

Almost surely, 210031033032 is an apocalyptic number.

It is an amenable number.

10031033032 is a deficient number, since it is larger than the sum of its proper divisors (8881069268).

10031033032 is a wasteful number, since it uses less digits than its factorization.

10031033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927696 (or 6927692 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10031033032 its reverse (23033013001), we get a palindrome (33064046033).

The spelling of 10031033032 in words is "ten billion, thirty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 181 362 724 1448 6927509 13855018 27710036 55420072 1253879129 2507758258 5015516516 10031033032