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103202232320 = 211511916213
BaseRepresentation
bin110000000011101010…
…1010001100000000000
3100212101100012121011202
41200013111101200000
53142324232413240
6115224354000332
710312306333535
oct1400725214000
9325340177152
10103202232320
113a849a736a0
12180022760a8
139969080375
144dd046ad8c
152a40429315
hex1807551800

103202232320 has 96 divisors (see below), whose sum is σ = 270136535760. Its totient is φ = 37528043520.

The previous prime is 103202232293. The next prime is 103202232337. The reversal of 103202232320 is 23232202301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103202232292 and 103202232301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345467 + ... + 570746.

Almost surely, 2103202232320 is an apocalyptic number.

103202232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103202232320 is an abundant number, since it is smaller than the sum of its proper divisors (166934303440).

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

103202232320 is an equidigital number, since it uses as much as digits as its factorization.

103202232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916251 (or 916231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103202232320 its reverse (23232202301), we get a palindrome (126434434621).

The spelling of 103202232320 in words is "one hundred three billion, two hundred two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 11264 14080 22528 28160 56320 112640 916213 1832426 3664852 4581065 7329704 9162130 10078343 14659408 18324260 20156686 29318816 36648520 40313372 50391715 58637632 73297040 80626744 100783430 117275264 146594080 161253488 201566860 234550528 293188160 322506976 403133720 469101056 586376320 645013952 806267440 938202112 1172752640 1290027904 1612534880 1876404224 2345505280 2580055808 3225069760 4691010560 5160111616 6450139520 9382021120 10320223232 12900279040 20640446464 25800558080 51601116160 103202232320