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123100123220 = 22537323577001
BaseRepresentation
bin111001010100101010…
…1101101000001010100
3102202202001121012001222
41302221111231001110
54004102112420340
6132315034505512
711615351532344
oct1625125550124
9382661535058
10123100123220
114822a8a0628
121ba35b95298
13b7ba5564c9
145d5ad72d24
1533072258b5
hex1ca956d054

123100123220 has 48 divisors (see below), whose sum is σ = 259350326928. Its totient is φ = 49080192000.

The previous prime is 123100123219. The next prime is 123100123241. The reversal of 123100123220 is 22321001321.

It can be written as a sum of positive squares in 8 ways, for example, as 8164206736 + 114935916484 = 90356^2 + 339022^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17579720 + ... + 17586720.

It is an arithmetic number, because the mean of its divisors is an integer number (5403131811).

Almost surely, 2123100123220 is an apocalyptic number.

123100123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123100123220 is an abundant number, since it is smaller than the sum of its proper divisors (136250203708).

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

123100123220 is a wasteful number, since it uses less digits than its factorization.

123100123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123100123220 its reverse (22321001321), we get a palindrome (145421124541).

The spelling of 123100123220 in words is "one hundred twenty-three billion, one hundred million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 2357 3730 4714 7001 7460 9428 11785 14002 23570 28004 35005 47140 70010 140020 879161 1758322 2611373 3516644 4395805 5222746 8791610 10445492 13056865 16501357 17583220 26113730 33002714 52227460 66005428 82506785 165013570 330027140 6155006161 12310012322 24620024644 30775030805 61550061610 123100123220