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132111132032 = 2711372535917
BaseRepresentation
bin111101100001001101…
…1111110010110000000
3110122000001101212100002
41323002123332112000
54131030422211112
6140405132015132
712354560044145
oct1730233762600
9418001355302
10132111132032
1151034320950
122172b9014a8
13c5c538c599
146573a123cc
1536833791c2
hex1ec26fe580

132111132032 has 64 divisors (see below), whose sum is σ = 294876545040. Its totient is φ = 58427504640.

The previous prime is 132111132029. The next prime is 132111132059. The reversal of 132111132032 is 230231111231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132111131995 and 132111132013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215863 + ... + 1320054.

Almost surely, 2132111132032 is an apocalyptic number.

It is an amenable number.

132111132032 is an abundant number, since it is smaller than the sum of its proper divisors (162765413008).

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

132111132032 is a wasteful number, since it uses less digits than its factorization.

132111132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535979 (or 2535967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132111132032 its reverse (230231111231), we get a palindrome (362342243263).

The spelling of 132111132032 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 26048 52096 2535917 5071834 10143668 20287336 27895087 40574672 55790174 81149344 93828929 111580348 162298688 187657858 223160696 324597376 375315716 446321392 750631432 892642784 1032118219 1501262864 1785285568 2064236438 3002525728 3570571136 4128472876 6005051456 8256945752 12010102912 16513891504 33027783008 66055566016 132111132032