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13032132102 = 23211175936529
BaseRepresentation
bin11000010001100011…
…01000111000000110
31020122020020220102100
430020301220320012
5203142211211402
65553055452530
7640643203143
oct141061507006
936566226370
1013032132102
115588331810
122638527146
1312c8c42292
148b8b313ca
1551419c71c
hex308c68e06

13032132102 has 96 divisors (see below), whose sum is σ = 32675179680. Its totient is φ = 3709992960.

The previous prime is 13032132101. The next prime is 13032132103. The reversal of 13032132102 is 20123123031.

13032132102 is a `hidden beast` number, since 130 + 321 + 3 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13032132101) and next prime (13032132103).

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 (13032132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992774 + ... + 1999302.

It is an arithmetic number, because the mean of its divisors is an integer number (340366455).

Almost surely, 213032132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337589840).

13032132102 is an abundant number, since it is smaller than the sum of its proper divisors (19643047578).

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

13032132102 is a wasteful number, since it uses less digits than its factorization.

13032132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13032132102 its reverse (20123123031), we get a palindrome (33155255133).

The spelling of 13032132102 in words is "thirteen billion, thirty-two million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 593 1122 1186 1683 1779 3366 3558 5337 6523 6529 10081 10674 13046 13058 19569 19587 20162 30243 39138 39174 58707 58761 60486 71819 90729 110891 110993 117414 117522 143638 181458 215457 221782 221986 332673 332979 430914 646371 665346 665958 998019 998937 1220923 1292742 1996038 1997874 2441846 3662769 3871697 7325538 7743394 10988307 11615091 21976614 23230182 34845273 42588667 65818849 69690546 85177334 127766001 131637698 197456547 255532002 383298003 394913094 592369641 724007339 766596006 1184739282 1448014678 2172022017 4344044034 6516066051 13032132102