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10102574141 = 1189103110009
BaseRepresentation
bin10010110100010100…
…10000110000111101
3222002001202221101122
421122022100300331
5131142224333031
64350245120325
7505231314632
oct113212206075
928061687348
1010102574141
114314704530
121b5b3b90a5
13c5002282a
146bba24189
153e1dc047b
hex25a290c3d

10102574141 has 16 divisors (see below), whose sum is σ = 11156745600. Its totient is φ = 9071251200.

The previous prime is 10102574137. The next prime is 10102574147. The reversal of 10102574141 is 14147520101.

It is not a de Polignac number, because 10102574141 - 22 = 10102574137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102574141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102574147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004345 + ... + 1014353.

It is an arithmetic number, because the mean of its divisors is an integer number (697296600).

Almost surely, 210102574141 is an apocalyptic number.

10102574141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102574141 is a deficient number, since it is larger than the sum of its proper divisors (1054171459).

10102574141 is a wasteful number, since it uses less digits than its factorization.

10102574141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140.

The product of its (nonzero) digits is 1120, while the sum is 26.

The spelling of 10102574141 in words is "ten billion, one hundred two million, five hundred seventy-four thousand, one hundred forty-one".

Divisors: 1 11 89 979 1031 10009 11341 91759 110099 890801 1009349 9798811 10319279 113512069 918415831 10102574141