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103311200100 = 22352907379681
BaseRepresentation
bin110000000110111010…
…0111100111101100100
3100212122221020201212110
41200031310330331210
53143040131400400
6115243245321020
710315101466053
oct1401564747544
9325587221773
10103311200100
113a8a552a809
1218032866170
139985813944
145000b1439a
152a49ca0e50
hex180dd3cf64

103311200100 has 72 divisors (see below), whose sum is σ = 299244090208. Its totient is φ = 27519206400.

The previous prime is 103311200093. The next prime is 103311200117. The reversal of 103311200100 is 1002113301.

It is a super-2 number, since 2×1033112001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82260 + ... + 461940.

Almost surely, 2103311200100 is an apocalyptic number.

103311200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311200100 is an abundant number, since it is smaller than the sum of its proper divisors (195932890108).

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

103311200100 is a wasteful number, since it uses less digits than its factorization.

103311200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380605 (or 380598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103311200100 its reverse (1002113301), we get a palindrome (104313313401).

The spelling of 103311200100 in words is "one hundred three billion, three hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 907 1814 2721 3628 4535 5442 9070 10884 13605 18140 22675 27210 45350 54420 68025 90700 136050 272100 379681 759362 1139043 1518724 1898405 2278086 3796810 4556172 5695215 7593620 9492025 11390430 18984050 22780860 28476075 37968100 56952150 113904300 344370667 688741334 1033112001 1377482668 1721853335 2066224002 3443706670 4132448004 5165560005 6887413340 8609266675 10331120010 17218533350 20662240020 25827800025 34437066700 51655600050 103311200100