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33131213031132 = 2234564718108169
BaseRepresentation
bin1111000100001111101100…
…01011110000011011011100
311100022022110012102122110000
413202013312023300123130
513320310211013444012
6154244134045214300
76656436226121466
oct742076613603334
9140268405378400
1033131213031132
11a613961033127
123871074261390
13156434c24b578
148277b88b1136
153c6c43ae2ddc
hex1e21f62f06dc

33131213031132 has 60 divisors (see below), whose sum is σ = 86626877703520. Its totient is φ = 11041781385024.

The previous prime is 33131213031131. The next prime is 33131213031211. The reversal of 33131213031132 is 23113031213133.

33131213031132 is a `hidden beast` number, since 3 + 3 + 1 + 312 + 1 + 3 + 0 + 311 + 32 = 666.

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 = 33131213031096 and 33131213031105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131213031131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7224457 + ... + 10883712.

Almost surely, 233131213031132 is an apocalyptic number.

It is an amenable number.

33131213031132 is an abundant number, since it is smaller than the sum of its proper divisors (53495664672388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33131213031132 is a wasteful number, since it uses less digits than its factorization.

33131213031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18113832 (or 18113821 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 33131213031132 its reverse (23113031213133), we get a palindrome (56244244244265).

The spelling of 33131213031132 in words is "thirty-three trillion, one hundred thirty-one billion, two hundred thirteen million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5647 11294 16941 22588 33882 50823 67764 101646 152469 203292 304938 457407 609876 914814 1829628 18108169 36216338 54324507 72432676 108649014 162973521 217298028 325947042 488920563 651894084 977841126 1466761689 1955682252 2933523378 5867046756 102256830343 204513660686 306770491029 409027321372 613540982058 920311473087 1227081964116 1840622946174 2760934419261 3681245892348 5521868838522 8282803257783 11043737677044 16565606515566 33131213031132