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103032332232 = 23319919245863
BaseRepresentation
bin101111111110100110…
…1001001111111001000
3100211221111111210001220
41133331031021333020
53142002234112412
6115155444242040
710305144242154
oct1377515117710
9324844453056
10103032332232
113a77207a1a5
1217b753a0320
13993cb0467b
144db5a82064
152a3056868c
hex17fd349fc8

103032332232 has 64 divisors (see below), whose sum is σ = 271433856000. Its totient is φ = 32500989504.

The previous prime is 103032332209. The next prime is 103032332261. The reversal of 103032332232 is 232233230301.

It is a super-2 number, since 2×1030323322322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296133 + ... + 541995.

It is an arithmetic number, because the mean of its divisors is an integer number (4241154000).

Almost surely, 2103032332232 is an apocalyptic number.

103032332232 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 103032332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135716928000).

103032332232 is an abundant number, since it is smaller than the sum of its proper divisors (168401523768).

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

103032332232 is a wasteful number, since it uses less digits than its factorization.

103032332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246810 (or 246806 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 103032332232 its reverse (232233230301), we get a palindrome (335265562533).

The spelling of 103032332232 in words is "one hundred three billion, thirty-two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 919 1838 2757 3676 5514 7352 11028 17461 22056 34922 52383 69844 104766 139688 209532 245863 419064 491726 737589 983452 1475178 1966904 2950356 4671397 5900712 9342794 14014191 18685588 28028382 37371176 56056764 112113528 225948097 451896194 677844291 903792388 1355688582 1807584776 2711377164 4293013843 5422754328 8586027686 12879041529 17172055372 25758083058 34344110744 51516166116 103032332232