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103100323320 = 23325691414457
BaseRepresentation
bin110000000000101000…
…0100001010111111000
3100212010020110002022100
41200001100201113320
53142122140321240
6115210313423400
710306631201001
oct1400120412770
9325106402270
10103100323320
113a7a7498985
1217b9410ab60
139950c1b997
144dc0b001a8
152a364e8e30
hex18014215f8

103100323320 has 96 divisors (see below), whose sum is σ = 335561775120. Its totient is φ = 27453565440.

The previous prime is 103100323309. The next prime is 103100323343. The reversal of 103100323320 is 23323001301.

103100323320 is a `hidden beast` number, since 1 + 0 + 310 + 0 + 32 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103100323293 and 103100323302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41532 + ... + 455988.

Almost surely, 2103100323320 is an apocalyptic number.

103100323320 is a gapful number since it is divisible by the number (10) 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 103100323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167780887560).

103100323320 is an abundant number, since it is smaller than the sum of its proper divisors (232461451800).

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

103100323320 is a wasteful number, since it uses less digits than its factorization.

103100323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415165 (or 415158 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103100323320 its reverse (23323001301), we get a palindrome (126423324621).

The spelling of 103100323320 in words is "one hundred three billion, one hundred million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691 1382 2073 2764 3455 4146 5528 6219 6910 8292 10365 12438 13820 16584 20730 24876 27640 31095 41460 49752 62190 82920 124380 248760 414457 828914 1243371 1657828 2072285 2486742 3315656 3730113 4144570 4973484 6216855 7460226 8289140 9946968 12433710 14920452 16578280 18650565 24867420 29840904 37301130 49734840 74602260 149204520 286389787 572779574 859169361 1145559148 1431948935 1718338722 2291118296 2577508083 2863897870 3436677444 4295846805 5155016166 5727795740 6873354888 8591693610 10310032332 11455591480 12887540415 17183387220 20620064664 25775080830 34366774440 51550161660 103100323320