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4201053004125 = 325322916306853
BaseRepresentation
bin111101001000100010010…
…001011010000101011101
3112212121122121101112112100
4331020202101122011131
51022312224032113000
612533534225355313
7612342003230025
oct75104221320535
915777577345470
104201053004125
11137a72499940a
1257a238198b39
13246208322673
14107491208a85
157442bad0a00
hex3d22245a15d

4201053004125 has 48 divisors (see below), whose sum is σ = 7606168979760. Its totient is φ = 2230777353600.

The previous prime is 4201053004111. The next prime is 4201053004157. The reversal of 4201053004125 is 5214003501024.

4201053004125 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 0 + 530 + 0 + 4 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1796205731076 + 2404847273049 = 1340226^2 + 1550757^2 .

It is not a de Polignac number, because 4201053004125 - 28 = 4201053003869 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7895802 + ... + 8411051.

It is an arithmetic number, because the mean of its divisors is an integer number (158461853745).

Almost surely, 24201053004125 is an apocalyptic number.

4201053004125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4201053004125 is a deficient number, since it is larger than the sum of its proper divisors (3405115975635).

4201053004125 is a wasteful number, since it uses less digits than its factorization.

4201053004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307103 (or 16307090 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 4201053004125 its reverse (5214003501024), we get a palindrome (9415056505149).

The spelling of 4201053004125 in words is "four trillion, two hundred one billion, fifty-three million, four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 229 375 687 1125 1145 2061 3435 5725 10305 17175 28625 51525 85875 257625 16306853 48920559 81534265 146761677 244602795 407671325 733808385 1223013975 2038356625 3669041925 3734269337 6115069875 11202808011 18345209625 18671346685 33608424033 56014040055 93356733425 168042120165 280070200275 466783667125 840210600825 1400351001375 4201053004125