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123204132100 = 225271291136333
BaseRepresentation
bin111001010111110001…
…0011101110100000100
3102210000022022101102201
41302233202131310010
54004310224211400
6132333232044244
711621053562260
oct1625742356404
9383008271381
10123204132100
114828357aa85
121ba64993684
13b805c7191a
145d6aac90a0
15331141d06a
hex1caf89dd04

123204132100 has 72 divisors (see below), whose sum is σ = 305785164608. Its totient is φ = 42208387200.

The previous prime is 123204132089. The next prime is 123204132167. The reversal of 123204132100 is 1231402321.

It is a happy number.

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, 835534 + ... + 971866.

Almost surely, 2123204132100 is an apocalyptic number.

123204132100 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 123204132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152892582304).

123204132100 is an abundant number, since it is smaller than the sum of its proper divisors (182581032508).

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

123204132100 is a wasteful number, since it uses less digits than its factorization.

123204132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137645 (or 137638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 123204132100 its reverse (1231402321), we get a palindrome (124435534421).

The spelling of 123204132100 in words is "one hundred twenty-three billion, two hundred four million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1291 2582 5164 6455 9037 12910 18074 25820 32275 36148 45185 64550 90370 129100 136333 180740 225925 272666 451850 545332 681665 903700 954331 1363330 1908662 2726660 3408325 3817324 4771655 6816650 9543310 13633300 19086620 23858275 47716550 95433100 176005903 352011806 704023612 880029515 1232041321 1760059030 2464082642 3520118060 4400147575 4928165284 6160206605 8800295150 12320413210 17600590300 24640826420 30801033025 61602066050 123204132100