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103303330032 = 2437437150009
BaseRepresentation
bin110000000110101011…
…0111011100011110000
3100212122101102220011110
41200031112323203300
53143031123030112
6115242404513320
710314644550210
oct1401526734360
9325571386143
10103303330032
113a8a1044921
12180300ab840
139983cb96b6
144ddda66240
152a4924913c
hex180d5bb8f0

103303330032 has 80 divisors (see below), whose sum is σ = 312083636480. Its totient is φ = 28828832256.

The previous prime is 103303330003. The next prime is 103303330063. The reversal of 103303330032 is 230033303301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103303329990 and 103303330008.

It is a congruent number.

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, 3560557 + ... + 3589452.

It is an arithmetic number, because the mean of its divisors is an integer number (3901045456).

Almost surely, 2103303330032 is an apocalyptic number.

103303330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103303330032 is an abundant number, since it is smaller than the sum of its proper divisors (208780306448).

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

103303330032 is a wasteful number, since it uses less digits than its factorization.

103303330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150070 (or 7150064 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 103303330032 its reverse (230033303301), we get a palindrome (333336633333).

The spelling of 103303330032 in words is "one hundred three billion, three hundred three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 7150009 14300018 21450027 28600036 42900054 50050063 57200072 85800108 100100126 114400144 150150189 171600216 200200252 300300378 307450387 343200432 400400504 600600756 614900774 800801008 922351161 1201201512 1229801548 1844702322 2152152709 2402403024 2459603096 3689404644 4304305418 4919206192 6456458127 7378809288 8608610836 12912916254 14757618576 17217221672 25825832508 34434443344 51651665016 103303330032