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10101122431 = 61719230309
BaseRepresentation
bin10010110100001001…
…01110010101111111
3222001222001012000121
421122010232111333
5131141341404211
64350154035411
7505213060351
oct113204562577
928058035017
1010101122431
114313902874
121b5aa18b67
13c4c934b2a
146bb7670d1
153e1bd5271
hex25a12e57f

10101122431 has 8 divisors (see below), whose sum is σ = 10281038400. Its totient is φ = 9921668640.

The previous prime is 10101122393. The next prime is 10101122459. The reversal of 10101122431 is 13422110101.

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 10101122431 - 213 = 10101114239 is a prime.

It is a super-2 number, since 2×101011224312 (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 (10101129431) 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, 71296 + ... + 159013.

It is an arithmetic number, because the mean of its divisors is an integer number (1285129800).

Almost surely, 210101122431 is an apocalyptic number.

10101122431 is a deficient number, since it is larger than the sum of its proper divisors (179915969).

10101122431 is an equidigital number, since it uses as much as digits as its factorization.

10101122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231089.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10101122431 its reverse (13422110101), we get a palindrome (23523232532).

The spelling of 10101122431 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 61 719 43859 230309 14048849 165592171 10101122431