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10107005051 = 1113312638669
BaseRepresentation
bin10010110100110110…
…01010100001111011
3222002101010001110102
421122123022201323
5131144343130201
64350524110015
7505314061013
oct113233124173
928071101412
1010107005051
114317160540
121b6099530b
13c50c14580
146bc458c43
153e249826b
hex25a6ca87b

10107005051 has 32 divisors (see below), whose sum is σ = 12305018880. Its totient is φ = 8175657600.

The previous prime is 10107005021. The next prime is 10107005071. The reversal of 10107005051 is 15050070101.

It is not a de Polignac number, because 10107005051 - 226 = 10039896187 is a prime.

It is a super-2 number, since 2×101070050512 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10107005021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161545 + ... + 1170213.

It is an arithmetic number, because the mean of its divisors is an integer number (384531840).

Almost surely, 210107005051 is an apocalyptic number.

10107005051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10107005051 is a deficient number, since it is larger than the sum of its proper divisors (2198013829).

10107005051 is a wasteful number, since it uses less digits than its factorization.

10107005051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987.

The product of its (nonzero) digits is 175, while the sum is 20.

Adding to 10107005051 its reverse (15050070101), we get a palindrome (25157075152).

It can be divided in two parts, 101070050 and 51, that added together give a palindrome (101070101).

The spelling of 10107005051 in words is "ten billion, one hundred seven million, five thousand, fifty-one".

Divisors: 1 11 13 31 143 263 341 403 2893 3419 4433 8153 8669 37609 89683 95359 105989 112697 268739 1165879 1239667 2279947 2956129 3493607 25079417 29639311 38429677 70678357 326032421 777461927 918818641 10107005051