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10114512141 = 3371031137829
BaseRepresentation
bin10010110101101111…
…10011010100001101
3222002220020110020210
421122313303110031
5131203303342031
64351353033033
7505434635406
oct113267632415
928086213223
1010114512141
114320418748
121b633b5779
13c52642536
146bd4509ad
153e2e7c746
hex25adf350d

10114512141 has 32 divisors (see below), whose sum is σ = 14110536960. Its totient is φ = 6438749184.

The previous prime is 10114512127. The next prime is 10114512169. The reversal of 10114512141 is 14121541101.

It is not a de Polignac number, because 10114512141 - 210 = 10114511117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114512341) 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 31 ways as a sum of consecutive naturals, for example, 1288015 + ... + 1295843.

It is an arithmetic number, because the mean of its divisors is an integer number (440954280).

Almost surely, 210114512141 is an apocalyptic number.

It is an amenable number.

10114512141 is a deficient number, since it is larger than the sum of its proper divisors (3996024819).

10114512141 is a wasteful number, since it uses less digits than its factorization.

10114512141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085.

The product of its (nonzero) digits is 160, while the sum is 21.

The spelling of 10114512141 in words is "ten billion, one hundred fourteen million, five hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 37 103 111 113 309 339 3811 4181 7829 11433 11639 12543 23487 34917 289673 430643 806387 869019 884677 1291929 2419161 2654031 29836319 32733049 89508957 91121731 98199147 273365193 3371504047 10114512141