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133157751331 = 1183972635717
BaseRepresentation
bin111110000000011010…
…0100000101000100011
3110201200222210122002211
41330000310200220203
54140201341020311
6141101040422551
712422526132313
oct1740064405043
9421628718084
10133157751331
1151521096480
1221982317a57
13c731170147
146632a17443
1536e51b8821
hex1f00d20a23

133157751331 has 32 divisors (see below), whose sum is σ = 149119584768. Its totient is φ = 117890442240.

The previous prime is 133157751239. The next prime is 133157751361.

It is a happy number.

133157751331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133157751331 - 29 = 133157750819 is a prime.

It is a super-2 number, since 2×1331577513312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133157751361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23288685 + ... + 23294401.

It is an arithmetic number, because the mean of its divisors is an integer number (4659987024).

Almost surely, 2133157751331 is an apocalyptic number.

133157751331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133157751331 is a deficient number, since it is larger than the sum of its proper divisors (15961833437).

133157751331 is a wasteful number, since it uses less digits than its factorization.

133157751331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171.

The product of its digits is 99225, while the sum is 40.

It can be divided in two parts, 133157 and 751331, that added together give a palindrome (884488).

The spelling of 133157751331 in words is "one hundred thirty-three billion, one hundred fifty-seven million, seven hundred fifty-one thousand, three hundred thirty-one".

Divisors: 1 11 83 97 263 913 1067 2893 5717 8051 21829 25511 62887 88561 240119 280621 474511 554549 1503571 2117413 5219621 6100039 16539281 23291543 46027567 124796393 145846387 506303237 1372760323 1604310257 12105250121 133157751331