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103352363352 = 23327205064213
BaseRepresentation
bin110000001000001000…
…1111110100101011000
3100212202210201001020100
41200100101332211120
53143131201111402
6115251315455400
710316111410410
oct1402021764530
9325683631210
10103352363352
113a916795327
12180445b7560
1399911c6ab4
14500638b640
152a4d6d271c
hex181047e958

103352363352 has 48 divisors (see below), whose sum is σ = 319900173840. Its totient is φ = 29529246528.

The previous prime is 103352363341. The next prime is 103352363357. The reversal of 103352363352 is 253363253301.

103352363352 is a `hidden beast` number, since 10 + 3 + 3 + 5 + 2 + 3 + 633 + 5 + 2 = 666.

It is a super-2 number, since 2×1033523633522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103352363357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102531603 + ... + 102532610.

It is an arithmetic number, because the mean of its divisors is an integer number (6664586955).

Almost surely, 2103352363352 is an apocalyptic number.

103352363352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103352363352 is an abundant number, since it is smaller than the sum of its proper divisors (216547810488).

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

103352363352 is a wasteful number, since it uses less digits than its factorization.

103352363352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205064232 (or 205064225 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 103352363352 in words is "one hundred three billion, three hundred fifty-two million, three hundred sixty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 205064213 410128426 615192639 820256852 1230385278 1435449491 1640513704 1845577917 2460770556 2870898982 3691155834 4306348473 4921541112 5741797964 7382311668 8612696946 11483595928 12919045419 14764623336 17225393892 25838090838 34450787784 51676181676 103352363352