Search a number
-
+
132201053351631 = 32112775711844127
BaseRepresentation
bin11110000011110001110100…
…110100101110111011001111
3122100002022000201012122000200
4132003301310310232323033
5114311440224124223011
61145100154150024543
736563132225411535
oct3603616464567317
9570068021178020
10132201053351631
113913a174162950
12129b1549348153
13589c6764356c4
1424907ca9a8155
151043cbd219856
hex783c74d2eecf

132201053351631 has 48 divisors (see below), whose sum is σ = 209105713410048. Its totient is φ = 79818528657600.

The previous prime is 132201053351629. The next prime is 132201053351749. The reversal of 132201053351631 is 136153350102231.

132201053351631 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 10 + 5 + 3 + 3 + 5 + 1 + 631 = 666.

It is not a de Polignac number, because 132201053351631 - 21 = 132201053351629 is a prime.

It is a super-2 number, since 2×1322010533516312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201053351611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156190690 + ... + 157034816.

It is an arithmetic number, because the mean of its divisors is an integer number (4356369029376).

Almost surely, 2132201053351631 is an apocalyptic number.

132201053351631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132201053351631 is a deficient number, since it is larger than the sum of its proper divisors (76904660058417).

132201053351631 is a wasteful number, since it uses less digits than its factorization.

132201053351631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850132 (or 850129 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 132201053351631 in words is "one hundred thirty-two trillion, two hundred one billion, fifty-three million, three hundred fifty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 99 277 831 2493 3047 5711 9141 17133 27423 51399 62821 188463 565389 844127 1581947 2532381 4745841 7597143 9285397 14237523 17401417 27856191 52204251 83568573 156612753 233823179 701469537 2104408611 2572054969 4820809297 7716164907 14462427891 23148494721 43387283673 53028902267 159086706801 477260120403 1335364175269 4006092525807 12018277577421 14689005927959 44067017783877 132201053351631