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100112222122220 = 22571187119746197
BaseRepresentation
bin10110110000110100110001…
…011011111111000011101100
3111010110122010220001000021202
4112300310301123333003230
5101110214312330402340
6552530530412145032
730041604122350160
oct2660646133770354
9433418126030252
10100112222122220
112999839a516630
12b28a504768178
1343b2707b1b869
141aa1659190ca0
15b89236a03c15
hex5b0d316ff0ec

100112222122220 has 96 divisors (see below), whose sum is σ = 262115359672320. Its totient is φ = 31203409501440.

The previous prime is 100112222122219. The next prime is 100112222122273. The reversal of 100112222122220 is 22221222211001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100112222122192 and 100112222122201.

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, 133790162 + ... + 134536358.

It is an arithmetic number, because the mean of its divisors is an integer number (2730368329920).

Almost surely, 2100112222122220 is an apocalyptic number.

100112222122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112222122220 is an abundant number, since it is smaller than the sum of its proper divisors (162003137550100).

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

100112222122220 is a wasteful number, since it uses less digits than its factorization.

100112222122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833343 (or 833341 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100112222122220 its reverse (22221222211001), we get a palindrome (122333444333221).

The spelling of 100112222122220 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 87119 174238 348476 435595 609833 746197 871190 958309 1219666 1492394 1742380 1916618 2439332 2984788 3049165 3730985 3833236 4791545 5223379 6098330 6708163 7461970 8208167 9583090 10446758 12196660 13416326 14923940 16416334 19166180 20893516 26116895 26832652 32832668 33540815 41040835 52233790 57457169 67081630 82081670 104467580 114914338 134163260 164163340 229828676 287285845 574571690 1149143380 65007936443 130015872886 260031745772 325039682215 455055555101 650079364430 715087300873 910111110202 1300158728860 1430174601746 1820222220404 2275277775505 2860349203492 3575436504365 4550555551010 5005611106111 7150873008730 9101111102020 10011222212222 14301746017460 20022444424444 25028055530555 50056111061110 100112222122220