Search a number
-
+
202130032132 = 22729599194591
BaseRepresentation
bin1011110000111111100…
…0111000011000000100
3201022201210022112021101
42330033320320120010
511302430242012012
6232505100025444
720413653632140
oct2741770703004
9638653275241
10202130032132
11787a5151936
1233210b32284
13160a36c3812
149ad6d48220
1553d046ed57
hex2f0fe38604

202130032132 has 96 divisors (see below), whose sum is σ = 425843712000. Its totient is φ = 82115026560.

The previous prime is 202130032109. The next prime is 202130032177. The reversal of 202130032132 is 231230031202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44025157 + ... + 44029747.

It is an arithmetic number, because the mean of its divisors is an integer number (4435872000).

Almost surely, 2202130032132 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 202130032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212921856000).

202130032132 is an abundant number, since it is smaller than the sum of its proper divisors (223713679868).

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

202130032132 is a wasteful number, since it uses less digits than its factorization.

202130032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 202130032132 its reverse (231230031202), we get a palindrome (433360063334).

The spelling of 202130032132 in words is "two hundred two billion, one hundred thirty million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 203 236 406 413 812 826 919 1652 1711 1838 3422 3676 4591 6433 6844 9182 11977 12866 18364 23954 25732 26651 32137 47908 53302 54221 64274 106604 108442 128548 133139 186557 216884 266278 270869 373114 379547 532556 541738 746228 759094 931973 1083476 1518188 1572409 1863946 1896083 3144818 3727892 3792166 4219129 6289636 7584332 7855201 8438258 11006863 15710402 16876516 22013726 29533903 31420804 44027452 54986407 59067806 109972814 118135612 122354741 219945628 244709482 248928611 489418964 497857222 856483187 995714444 1712966374 1742500277 3425932748 3485000554 6970001108 7218929719 14437859438 28875718876 50532508033 101065016066 202130032132