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10001220031 = 112312666281
BaseRepresentation
bin10010101000001111…
…01000000110111111
3221211000001121200201
421110013220012333
5130440303020111
64332224504331
7502560652615
oct112407500677
927730047621
1010001220031
114272478700
121b3147b0a7
13c3502689a
146ac39d6b5
153d804e6c1
hex2541e81bf

10001220031 has 12 divisors (see below), whose sum is σ = 11347696192. Its totient is φ = 8798724000.

The previous prime is 10001220023. The next prime is 10001220067. The reversal of 10001220031 is 13002210001.

10001220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001220031 - 23 = 10001220023 is a prime.

It is a super-2 number, since 2×100012200312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001220091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1329390 + ... + 1336891.

Almost surely, 210001220031 is an apocalyptic number.

10001220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001220031 is a deficient number, since it is larger than the sum of its proper divisors (1346476161).

10001220031 is a wasteful number, since it uses less digits than its factorization.

10001220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666334 (or 2666323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001220031 its reverse (13002210001), we get a palindrome (23003430032).

It can be divided in two parts, 10001 and 220031, that added together give a palindrome (230032).

The spelling of 10001220031 in words is "ten billion, one million, two hundred twenty thousand, thirty-one".

Divisors: 1 11 31 121 341 3751 2666281 29329091 82654711 322620001 909201821 10001220031