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12301113222100 = 22522231699324673
BaseRepresentation
bin1011001100000001001101…
…1110111110001111010100
31121112222022201201200011201
42303000103132332033110
53103020134441101400
642055015311242244
72406504024120343
oct263002336761724
947488281650151
1012301113222100
113a129667a736a
121468055b19384
136b2cb404b4a1
1430753c901b5a
15164ea81c806a
hexb30137be3d4

12301113222100 has 72 divisors (see below), whose sum is σ = 26828981446400. Its totient is φ = 4895482337280.

The previous prime is 12301113222071. The next prime is 12301113222103. The reversal of 12301113222100 is 122231110321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301113222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37725364 + ... + 38050036.

Almost surely, 212301113222100 is an apocalyptic number.

12301113222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301113222100 is an abundant number, since it is smaller than the sum of its proper divisors (14527868224300).

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

12301113222100 is a wasteful number, since it uses less digits than its factorization.

12301113222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326609 (or 326602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12301113222100 its reverse (122231110321), we get a palindrome (12423344332421).

The spelling of 12301113222100 in words is "twelve trillion, three hundred one billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 446 892 1115 1699 2230 3398 4460 5575 6796 8495 11150 16990 22300 33980 42475 84950 169900 324673 378877 649346 757754 1298692 1515508 1623365 1894385 3246730 3788770 6493460 7577540 8116825 9471925 16233650 18943850 32467300 37887700 72402079 144804158 289608316 362010395 551619427 724020790 1103238854 1448041580 1810051975 2206477708 2758097135 3620103950 5516194270 7240207900 11032388540 13790485675 27580971350 55161942700 123011132221 246022264442 492044528884 615055661105 1230111322210 2460222644420 3075278305525 6150556611050 12301113222100