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10131213101 = 43449524743
BaseRepresentation
bin10010110111101111…
…00000101100101101
3222011001122221122212
421123313200230231
5131222042304401
64353151020205
7506026614302
oct113367405455
928131587585
1010131213101
114329895399
121b68b0a665
13c55c3c169
146c175b0a9
153e467adbb
hex25bde0b2d

10131213101 has 8 divisors (see below), whose sum is σ = 10389931200. Its totient is φ = 9873545472.

The previous prime is 10131213097. The next prime is 10131213151.

It is a happy number.

10131213101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131213101 - 22 = 10131213097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131213151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243065 + ... + 281678.

It is an arithmetic number, because the mean of its divisors is an integer number (1298741400).

Almost surely, 210131213101 is an apocalyptic number.

It is an amenable number.

10131213101 is a deficient number, since it is larger than the sum of its proper divisors (258718099).

10131213101 is an equidigital number, since it uses as much as digits as its factorization.

10131213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525235.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10131213101 in words is "ten billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred one".

Divisors: 1 43 449 19307 524743 22563949 235609607 10131213101