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20125151541 = 3411131172421
BaseRepresentation
bin10010101111100011…
…010111000100110101
31220221120000121220000
4102233203113010311
5312204014322131
613124555501513
71311501652125
oct225743270465
956846017800
1020125151541
11859813a250
123a97a57899
131b895b65c1
14d8cb82c85
157cbc3cce6
hex4af8d7135

20125151541 has 40 divisors (see below), whose sum is σ = 33047090208. Its totient is φ = 12103884000.

The previous prime is 20125151539. The next prime is 20125151549. The reversal of 20125151541 is 14515152102.

It is a happy number.

20125151541 is a `hidden beast` number, since 20 + 1 + 2 + 51 + 51 + 541 = 666.

It is not a de Polignac number, because 20125151541 - 21 = 20125151539 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125151549) 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 39 ways as a sum of consecutive naturals, for example, 30511 + ... + 202931.

Almost surely, 220125151541 is an apocalyptic number.

It is an amenable number.

20125151541 is a deficient number, since it is larger than the sum of its proper divisors (12921938667).

20125151541 is a wasteful number, since it uses less digits than its factorization.

20125151541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172575 (or 172566 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 20125151541 in words is "twenty billion, one hundred twenty-five million, one hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 131 297 393 891 1179 1441 3537 4323 10611 12969 38907 116721 172421 517263 1551789 1896631 4655367 5689893 13966101 17069679 22587151 51209037 67761453 153627111 203284359 248458661 609853077 745375983 1829559231 2236127949 6708383847 20125151541