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32303022102 = 23413191017993
BaseRepresentation
bin11110000101011010…
…010000000000010110
310002101020211112210000
4132011122100000112
51012124033201402
622501221512130
72222333105001
oct360532200026
9102336745700
1032303022102
111277723968a
126316272646
13307a557980
1417c6262538
15c90de5c1c
hex785690016

32303022102 has 160 divisors (see below), whose sum is σ = 82876036320. Its totient is φ = 9321868800.

The previous prime is 32303022041. The next prime is 32303022113. The reversal of 32303022102 is 20122030323.

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 an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4037418 + ... + 4045410.

It is an arithmetic number, because the mean of its divisors is an integer number (517975227).

Almost surely, 232303022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32303022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41438018160).

32303022102 is an abundant number, since it is smaller than the sum of its proper divisors (50573014218).

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

32303022102 is a wasteful number, since it uses less digits than its factorization.

32303022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8131 counting only the distinct ones).

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

Adding to 32303022102 its reverse (20122030323), we get a palindrome (52425052425).

The spelling of 32303022102 in words is "thirty-two billion, three hundred three million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 101 114 117 162 171 202 234 247 303 342 351 494 513 606 702 741 909 1026 1053 1313 1482 1539 1818 1919 2106 2223 2626 2727 3078 3838 3939 4446 5454 5757 6669 7878 7993 8181 11514 11817 13338 15986 16362 17271 20007 23634 23979 24947 34542 35451 40014 47958 49894 51813 70902 71937 74841 103626 103909 106353 143874 149682 151867 155439 207818 212706 215811 224523 303734 310878 311727 431622 449046 455601 623454 647433 673569 807293 911202 935181 1294866 1347138 1366803 1614586 1870362 1974271 2020707 2421879 2733606 2805543 3948542 4041414 4100409 4843758 5611086 5922813 7265637 8200818 8416629 10494809 11845626 12301227 14531274 15338567 16833258 17768439 20989618 21796911 24602454 30677134 31484427 35536878 43593822 46015701 53305317 62968854 65390733 92031402 94453281 106610634 130781466 138047103 159915951 188906562 199401371 276094206 283359843 319831902 398802742 414141309 566719686 598204113 828282618 850079529 1196408226 1242423927 1700159058 1794612339 2484847854 3589224678 5383837017 10767674034 16151511051 32303022102