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32131201231332 = 22327730917444899
BaseRepresentation
bin1110100111001001000001…
…10101011110100111100100
311012202201020122210201200100
413103210200311132213210
513202414200003400312
6152200511533544100
76524255056065630
oct723444065364744
9135681218721610
1032131201231332
11a268847488935
12372b2aa345030
1314c0c616b0bc8
147d1230a75dc0
153aac162ea5dc
hex1d3920d5e9e4

32131201231332 has 72 divisors (see below), whose sum is σ = 92836175432000. Its totient is φ = 9179086650048.

The previous prime is 32131201231307. The next prime is 32131201231333. The reversal of 32131201231332 is 23313210213123.

32131201231332 is a `hidden beast` number, since 3 + 2 + 1 + 312 + 0 + 1 + 2 + 313 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32131201231296 and 32131201231305.

It is not an unprimeable number, because it can be changed into a prime (32131201231333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6880582 + ... + 10564317.

Almost surely, 232131201231332 is an apocalyptic number.

It is an amenable number.

32131201231332 is an abundant number, since it is smaller than the sum of its proper divisors (60704974200668).

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

32131201231332 is a wasteful number, since it uses less digits than its factorization.

32131201231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452225 (or 17452220 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32131201231332 its reverse (23313210213123), we get a palindrome (55444411444455).

The spelling of 32131201231332 in words is "thirty-two trillion, one hundred thirty-one billion, two hundred one million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7309 14618 21927 29236 43854 51163 65781 87708 102326 131562 153489 204652 263124 306978 460467 613956 920934 1841868 17444899 34889798 52334697 69779596 104669394 122114293 157004091 209338788 244228586 314008182 366342879 488457172 628016364 732685758 1099028637 1465371516 2198057274 4396114548 127504766791 255009533582 382514300373 510019067164 765028600746 892533367537 1147542901119 1530057201492 1785066735074 2295085802238 2677600102611 3570133470148 4590171604476 5355200205222 8032800307833 10710400410444 16065600615666 32131201231332