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103330000032 = 2537179044993
BaseRepresentation
bin110000000111011110…
…0101010110010100000
3100212201020121212112020
41200032330222302200
53143104440000112
6115245200301440
710315420336260
oct1401674526240
9325636555466
10103330000032
113a905100446
1218039011880
139989696a6c
1450034097a0
152a4b76648c
hex180ef2aca0

103330000032 has 96 divisors (see below), whose sum is σ = 328224742272. Its totient is φ = 27786215424.

The previous prime is 103330000019. The next prime is 103330000063. The reversal of 103330000032 is 230000033301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1033300000322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103329999966 and 103330000020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4511073 + ... + 4533920.

It is an arithmetic number, because the mean of its divisors is an integer number (3419007732).

Almost surely, 2103330000032 is an apocalyptic number.

103330000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103330000032 is an abundant number, since it is smaller than the sum of its proper divisors (224894742240).

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

103330000032 is a wasteful number, since it uses less digits than its factorization.

103330000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045030 (or 9045022 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 103330000032 its reverse (230000033301), we get a palindrome (333330033333).

The spelling of 103330000032 in words is "one hundred three billion, three hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 9044993 18089986 27134979 36179972 54269958 63314951 72359944 108539916 126629902 144719888 153764881 189944853 217079832 253259804 289439776 307529762 379889706 434159664 461294643 506519608 615059524 759779412 868319328 922589286 1013039216 1076354167 1230119048 1519558824 1845178572 2026078432 2152708334 2460238096 3039117648 3229062501 3690357144 4305416668 4920476192 6078235296 6458125002 7380714288 8610833336 12916250004 14761428576 17221666672 25832500008 34443333344 51665000016 103330000032