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10320131261 = 112591445599
BaseRepresentation
bin10011001110010000…
…01011010010111101
3222122020010222122202
421213020023102331
5132113423200021
64424020121245
7513512445146
oct114710132275
928566128582
1010320131261
114416499400
122000236225
13c8611635b
146dc896acd
15406046a0b
hex26720b4bd

10320131261 has 12 divisors (see below), whose sum is σ = 11535888000. Its totient is φ = 9222915240.

The previous prime is 10320131249. The next prime is 10320131281. The reversal of 10320131261 is 16213102301.

10320131261 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 10320131261 - 218 = 10319869117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320131281) 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, 715661 + ... + 729938.

It is an arithmetic number, because the mean of its divisors is an integer number (961324000).

Almost surely, 210320131261 is an apocalyptic number.

10320131261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10320131261 is a deficient number, since it is larger than the sum of its proper divisors (1215756739).

10320131261 is a wasteful number, since it uses less digits than its factorization.

10320131261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445680 (or 1445669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10320131261 its reverse (16213102301), we get a palindrome (26533233562).

The spelling of 10320131261 in words is "ten billion, three hundred twenty million, one hundred thirty-one thousand, two hundred sixty-one".

Divisors: 1 11 59 121 649 7139 1445599 15901589 85290341 174917479 938193751 10320131261