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10509951001 = 1116312794583
BaseRepresentation
bin10011100100111000…
…10010000000011001
31000010110022211101111
421302130102000121
5133011021413001
64454520420321
7521306052364
oct116234220031
930113284344
1010509951001
114503658820
1220539176a1
13cb6547a24
14719b890db
15417a3e851
hex272712019

10509951001 has 16 divisors (see below), whose sum is σ = 11547279360. Its totient is φ = 9486389520.

The previous prime is 10509950999. The next prime is 10509951031. The reversal of 10509951001 is 10015990501.

It is a cyclic number.

It is not a de Polignac number, because 10509951001 - 21 = 10509950999 is a prime.

It is a super-2 number, since 2×105099510012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10509951031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290956 + ... + 2295538.

It is an arithmetic number, because the mean of its divisors is an integer number (721704960).

Almost surely, 210509951001 is an apocalyptic number.

10509951001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10509951001 is a deficient number, since it is larger than the sum of its proper divisors (1037328359).

10509951001 is a wasteful number, since it uses less digits than its factorization.

10509951001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036.

The product of its (nonzero) digits is 2025, while the sum is 31.

The spelling of 10509951001 in words is "ten billion, five hundred nine million, nine hundred fifty-one thousand, one".

Divisors: 1 11 163 1279 1793 4583 14069 50413 208477 747029 2293247 5861657 8217319 64478227 955450091 10509951001