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103332131032 = 23132104972859
BaseRepresentation
bin110000000111100010…
…0110011000011011000
3100212201101122010201011
41200033010303003120
53143111011143112
6115245314103304
710315444423144
oct1401704630330
9325641563634
10103332131032
113a9063264a9
121803987ab34
139989c61a00
145003802224
152a4ba37aa7
hex180f1330d8

103332131032 has 48 divisors (see below), whose sum is σ = 210000735000. Its totient is φ = 47645634816.

The previous prime is 103332130991. The next prime is 103332131041. The reversal of 103332131032 is 230131233301.

It is a super-2 number, since 2×1033321310322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103332130994 and 103332131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1381819 + ... + 1454677.

Almost surely, 2103332131032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105000367500).

103332131032 is an abundant number, since it is smaller than the sum of its proper divisors (106668603968).

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

103332131032 is a wasteful number, since it uses less digits than its factorization.

103332131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73940 (or 73923 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103332131032 its reverse (230131233301), we get a palindrome (333463364333).

The spelling of 103332131032 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1049 1352 2098 4196 8392 13637 27274 54548 72859 109096 145718 177281 291436 354562 582872 709124 947167 1418248 1894334 3788668 7577336 12313171 24626342 49252684 76429091 98505368 152858182 305716364 611432728 993578183 1987156366 3974312732 7948625464 12916516379 25833032758 51666065516 103332131032