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100200202212 = 223114723967577
BaseRepresentation
bin101110101010001100…
…1011011111111100100
3100120122010100200001110
41131110121123333210
53120202222432322
6114010434025020
710145024444265
oct1352431337744
9316563320043
10100200202212
1139549446a80
1217504a18170
1395ab137aa6
144bc789696c
152916ad3c0c
hex175465bfe4

100200202212 has 96 divisors (see below), whose sum is σ = 261575516160. Its totient is φ = 29592881920.

The previous prime is 100200202187. The next prime is 100200202229. The reversal of 100200202212 is 212202002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448968 + ... + 1516544.

It is an arithmetic number, because the mean of its divisors is an integer number (2724744960).

Almost surely, 2100200202212 is an apocalyptic number.

100200202212 is a gapful number since it is divisible by the number (12) 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 100200202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130787758080).

100200202212 is an abundant number, since it is smaller than the sum of its proper divisors (161375313948).

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

100200202212 is a wasteful number, since it uses less digits than its factorization.

100200202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67881 (or 67879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200202212 its reverse (212202002001), we get a palindrome (312402204213).

The spelling of 100200202212 in words is "one hundred billion, two hundred million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 239 282 478 517 564 717 956 1034 1434 1551 2068 2629 2868 3102 5258 6204 7887 10516 11233 15774 22466 31548 33699 44932 67398 67577 123563 134796 135154 202731 247126 270308 370689 405462 494252 741378 743347 810924 1482756 1486694 2230041 2973388 3176119 4460082 6352238 8920164 9528357 12704476 16150903 19056714 32301806 34937309 38113428 48452709 64603612 69874618 96905418 104811927 139749236 177659933 193810836 209623854 355319866 419247708 532979799 710639732 759092441 1065959598 1518184882 2131919196 2277277323 3036369764 4554554646 8350016851 9109109292 16700033702 25050050553 33400067404 50100101106 100200202212