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12231321210100 = 22521929301973529
BaseRepresentation
bin1011000111111101001110…
…0011100100110011110100
31121022022011210202010012101
42301333103203210303310
53100344221212210400
642002554050231444
72401453353604606
oct261772343446364
947268153663171
1012231321210100
113996301a53803
121456618885584
136a9540a26c75
14303ddb78b176
15163270e9d56a
hexb1fd38e4cf4

12231321210100 has 144 divisors (see below), whose sum is σ = 28912290120000. Its totient is φ = 4473655280640.

The previous prime is 12231321210067. The next prime is 12231321210131. The reversal of 12231321210100 is 101212313221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166310136 + ... + 166383664.

It is an arithmetic number, because the mean of its divisors is an integer number (200779792500).

Almost surely, 212231321210100 is an apocalyptic number.

12231321210100 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 12231321210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456145060000).

12231321210100 is an abundant number, since it is smaller than the sum of its proper divisors (16680968909900).

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

12231321210100 is a wasteful number, since it uses less digits than its factorization.

12231321210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76610 (or 76603 counting only the distinct ones).

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

Adding to 12231321210100 its reverse (101212313221), we get a palindrome (12332533523321).

The spelling of 12231321210100 in words is "twelve trillion, two hundred thirty-one billion, three hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 3019 5510 6038 11020 12076 13775 15095 27550 30190 55100 57361 60380 73529 75475 87551 114722 147058 150950 175102 229444 286805 294116 301900 350204 367645 437755 573610 735290 875510 1147220 1397051 1434025 1470580 1663469 1751020 1838225 2132341 2188775 2794102 2868050 3326938 3676450 4264682 4377550 5588204 5736100 6653876 6985255 7352900 8317345 8529364 8755100 10661705 13970510 16634690 21323410 27941020 33269380 34926275 40514479 41586725 42646820 53308525 69852550 81028958 83173450 106617050 139705100 162057916 166346900 202572395 213234100 221984051 405144790 443968102 810289580 887936204 1012861975 1109920255 2025723950 2219840510 4051447900 4217696969 4439681020 5549601275 6437537479 8435393938 11099202550 12875074958 16870787876 21088484845 22198405100 25750149916 32187687395 42176969690 64375374790 84353939380 105442424225 122313212101 128750749580 160938436975 210884848450 244626424202 321876873950 421769696900 489252848404 611566060505 643753747900 1223132121010 2446264242020 3057830302525 6115660605050 12231321210100