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12232210100 = 22521167269617
BaseRepresentation
bin10110110010001100…
…01011011010110100
31011120111001122201112
423121012023122310
5200022421210400
65341442414152
7612061033055
oct133106133264
934514048645
1012232210100
115207844550
122454661358
1311cc2b8a56
148407c672c
154b8d3d835
hex2d918b6b4

12232210100 has 144 divisors (see below), whose sum is σ = 29546233920. Its totient is φ = 4358323200.

The previous prime is 12232210069. The next prime is 12232210103. The reversal of 12232210100 is 101223221.

It is a happy number.

12232210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232210103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19824992 + ... + 19825608.

It is an arithmetic number, because the mean of its divisors is an integer number (205182180).

Almost surely, 212232210100 is an apocalyptic number.

12232210100 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 12232210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773116960).

12232210100 is an abundant number, since it is smaller than the sum of its proper divisors (17314023820).

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

12232210100 is a wasteful number, since it uses less digits than its factorization.

12232210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12232210100 its reverse (101223221), we get a palindrome (12333433321).

The spelling of 12232210100 in words is "twelve billion, two hundred thirty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 269 275 335 538 550 617 670 737 1076 1100 1234 1340 1345 1474 1675 2468 2690 2948 2959 3085 3350 3685 5380 5918 6170 6700 6725 6787 7370 11836 12340 13450 13574 14740 14795 15425 18023 18425 26900 27148 29590 30850 33935 36046 36850 41339 59180 61700 67870 72092 73700 73975 82678 90115 135740 147950 165356 165973 169675 180230 198253 206695 295900 331946 339350 360460 396506 413390 450575 454729 663892 678700 793012 826780 829865 901150 909458 991265 1033475 1659730 1802300 1818916 1825703 1982530 2066950 2273645 3319460 3651406 3965060 4133900 4149325 4547290 4956325 7302812 8298650 9094580 9128515 9912650 11120191 11368225 16597300 18257030 19825300 22240382 22736450 36514060 44480764 45472900 45642575 55600955 91285150 111201910 122322101 182570300 222403820 244644202 278004775 489288404 556009550 611610505 1112019100 1223221010 2446442020 3058052525 6116105050 12232210100