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20132002332 = 22331330834651
BaseRepresentation
bin10010101111111101…
…011111101000011100
31220222000220200102000
4102233331133220130
5312212243033312
613125402402300
71311614124231
oct225775375034
956860820360
1020132002332
1185a0a99362
123a9a200390
131b8ab44920
14d8da47788
157cc642adc
hex4aff5fa1c

20132002332 has 96 divisors (see below), whose sum is σ = 56239330560. Its totient is φ = 6191121600.

The previous prime is 20132002313. The next prime is 20132002337. The reversal of 20132002332 is 23320023102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132002337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326207 + ... + 4330857.

It is an arithmetic number, because the mean of its divisors is an integer number (585826360).

Almost surely, 220132002332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119665280).

20132002332 is an abundant number, since it is smaller than the sum of its proper divisors (36107328228).

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

20132002332 is a wasteful number, since it uses less digits than its factorization.

20132002332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20132002332 its reverse (23320023102), we get a palindrome (43452025434).

The spelling of 20132002332 in words is "twenty billion, one hundred thirty-two million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3083 4651 6166 9249 9302 12332 13953 18498 18604 27747 27906 36996 40079 41859 55494 55812 60463 80158 83241 83718 110988 120237 120926 125577 160316 166482 167436 181389 240474 241852 251154 332964 360711 362778 480948 502308 544167 721422 725556 1082133 1088334 1442844 1632501 2164266 2176668 3265002 4328532 6530004 14339033 28678066 43017099 57356132 86034198 129051297 172068396 186407429 258102594 372814858 387153891 516205188 559222287 745629716 774307782 1118444574 1548615564 1677666861 2236889148 3355333722 5033000583 6710667444 10066001166 20132002332