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133132431135 = 35115167156157
BaseRepresentation
bin111101111111101001…
…1111010111100011111
3110201122020011020022210
41323333103322330133
54140123400244020
6141054334011503
712422100664434
oct1737723727437
9421566136283
10133132431135
1151508871aa0
1221975946b93
13c728b46292
14662d505b8b
1536e2d663e0
hex1eff4faf1f

133132431135 has 32 divisors (see below), whose sum is σ = 232423068672. Its totient is φ = 64536151680.

The previous prime is 133132431119. The next prime is 133132431191. The reversal of 133132431135 is 531134231331.

It is a happy number.

It is not a de Polignac number, because 133132431135 - 24 = 133132431119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774477 + ... + 930633.

It is an arithmetic number, because the mean of its divisors is an integer number (7263220896).

Almost surely, 2133132431135 is an apocalyptic number.

133132431135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133132431135 is a deficient number, since it is larger than the sum of its proper divisors (99290637537).

133132431135 is a wasteful number, since it uses less digits than its factorization.

133132431135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161343.

The product of its digits is 9720, while the sum is 30.

Adding to 133132431135 its reverse (531134231331), we get a palindrome (664266662466).

The spelling of 133132431135 in words is "one hundred thirty-three billion, one hundred thirty-two million, four hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 5167 15501 25835 56837 77505 156157 170511 284185 468471 780785 852555 1717727 2342355 5153181 8588635 25765905 806863219 2420589657 4034316095 8875495409 12102948285 26626486227 44377477045 133132431135