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131836836153 = 311174194671201
BaseRepresentation
bin111101011001000010…
…1100111100100111001
3110121021221021012010110
41322302011213210321
54130000212224103
6140322012534533
712345016421541
oct1726205474471
9417257235113
10131836836153
1150a03503340
1221673a81449
13c5805c1329
146549410321
153669246403
hex1eb2167939

131836836153 has 64 divisors (see below), whose sum is σ = 204133063680. Its totient is φ = 74798592000.

The previous prime is 131836836091. The next prime is 131836836167. The reversal of 131836836153 is 351638638131.

It is a de Polignac number, because none of the positive numbers 2k-131836836153 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (131836838153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109771953 + ... + 109773153.

It is an arithmetic number, because the mean of its divisors is an integer number (3189579120).

Almost surely, 2131836836153 is an apocalyptic number.

It is an amenable number.

131836836153 is a deficient number, since it is larger than the sum of its proper divisors (72296227527).

131836836153 is a wasteful number, since it uses less digits than its factorization.

131836836153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118.

The product of its digits is 933120, while the sum is 48.

The spelling of 131836836153 in words is "one hundred thirty-one billion, eight hundred thirty-six million, eight hundred thirty-six thousand, one hundred fifty-three".

Divisors: 1 3 11 17 33 51 187 419 467 561 1201 1257 1401 3603 4609 5137 7123 7939 13211 13827 15411 20417 21369 23817 39633 61251 78353 87329 195673 224587 235059 261987 503219 560867 587019 673761 1509657 1682601 2152403 3326441 5535409 6169537 6457209 8554723 9534739 9979323 16606227 18508611 25664169 28604217 36590851 94101953 104882129 109772553 235003273 282305859 314646387 705009819 2585036003 3995055641 7755108009 11985166923 43945612051 131836836153