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32125140135 = 33511199108709
BaseRepresentation
bin11101111010110011…
…101011110010100111
310001220212010012121000
4131322303223302213
51011243013441020
622431425124343
72215043120454
oct357263536247
9101825105530
1032125140135
11126958932a0
1262867896b3
13304c745b7a
1417aa79a82b
15c804aa090
hex77acebca7

32125140135 has 64 divisors (see below), whose sum is σ = 62616960000. Its totient is φ = 15497412480.

The previous prime is 32125140127. The next prime is 32125140163. The reversal of 32125140135 is 53104152123.

32125140135 is a `hidden beast` number, since 3 + 2 + 1 + 251 + 401 + 3 + 5 = 666.

It is not a de Polignac number, because 32125140135 - 23 = 32125140127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32125140099 and 32125140108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241161 + ... + 349869.

It is an arithmetic number, because the mean of its divisors is an integer number (978390000).

Almost surely, 232125140135 is an apocalyptic number.

32125140135 is a deficient number, since it is larger than the sum of its proper divisors (30491819865).

32125140135 is a wasteful number, since it uses less digits than its factorization.

32125140135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108933 (or 108927 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 32125140135 its reverse (53104152123), we get a palindrome (85229292258).

The spelling of 32125140135 in words is "thirty-two billion, one hundred twenty-five million, one hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 199 297 495 597 995 1485 1791 2189 2985 5373 6567 8955 10945 19701 26865 32835 59103 98505 108709 295515 326127 543545 978381 1195799 1630635 2935143 3587397 4891905 5978995 10762191 14675715 17936985 21633091 32286573 53810955 64899273 108165455 161432865 194697819 237964001 324496365 584093457 713892003 973489095 1189820005 2141676009 2920467285 3569460015 6425028027 10708380045 32125140135