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20125153305 = 32519208111311
BaseRepresentation
bin10010101111100011…
…010111100000011001
31220221120000201022100
4102233203113200121
5312204014401210
613124555514013
71311501660225
oct225743274031
956846021270
1020125153305
118598140604
123a97a58909
131b895b734a
14d8cb83785
157cbc3d5c0
hex4af8d7819

20125153305 has 48 divisors (see below), whose sum is σ = 36740471040. Its totient is φ = 10162713600.

The previous prime is 20125153259. The next prime is 20125153313. The reversal of 20125153305 is 50335152102.

It is a happy number.

20125153305 is a `hidden beast` number, since 2 + 0 + 125 + 1 + 533 + 0 + 5 = 666.

It is not a de Polignac number, because 20125153305 - 26 = 20125153241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773600 + ... + 1784910.

It is an arithmetic number, because the mean of its divisors is an integer number (765426480).

Almost surely, 220125153305 is an apocalyptic number.

It is an amenable number.

20125153305 is a deficient number, since it is larger than the sum of its proper divisors (16615317735).

20125153305 is a wasteful number, since it uses less digits than its factorization.

20125153305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 20125153305 in words is "twenty billion, one hundred twenty-five million, one hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 2081 6243 10405 11311 18729 31215 33933 39539 56555 93645 101799 118617 169665 197695 214909 355851 508995 593085 644727 1074545 1779255 1934181 3223635 9670905 23538191 70614573 117690955 211843719 353072865 447225629 1059218595 1341676887 2236128145 4025030661 6708384435 20125153305