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10003020132 = 223737930763
BaseRepresentation
bin10010101000011100…
…11111100101100100
3221211010110001222010
421110032133211210
5130441233121012
64332331234220
7502612161000
oct112416374544
927733401863
1010003020132
114273498096
121b31ba8970
13c35507031
146ac70b700
153d82a7c3c
hex25439f964

10003020132 has 96 divisors (see below), whose sum is σ = 27564544000. Its totient is φ = 2821736736.

The previous prime is 10003020121. The next prime is 10003020151. The reversal of 10003020132 is 23102030001.

It is a happy number.

10003020132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100030201322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309783 + ... + 340545.

Almost surely, 210003020132 is an apocalyptic number.

10003020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782272000).

10003020132 is an abundant number, since it is smaller than the sum of its proper divisors (17561523868).

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

10003020132 is a wasteful number, since it uses less digits than its factorization.

10003020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30854 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003020132 its reverse (23102030001), we get a palindrome (33105050133).

The spelling of 10003020132 in words is "ten billion, three million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 343 474 553 588 686 948 1029 1106 1372 1659 2058 2212 3318 3871 4116 6636 7742 11613 15484 23226 27097 30763 46452 54194 61526 81291 92289 108388 123052 162582 184578 215341 325164 369156 430682 646023 861364 1292046 1507387 2430277 2584092 3014774 4522161 4860554 6029548 7290831 9044322 9721108 10551709 14581662 17011939 18088644 21103418 29163324 31655127 34023878 42206836 51035817 63310254 68047756 102071634 119083573 126620508 204143268 238167146 357250719 476334292 714501438 833585011 1429002876 1667170022 2500755033 3334340044 5001510066 10003020132