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222210100133130 = 235293171911459191
BaseRepresentation
bin110010100001100101010010…
…000101010111110100001010
31002010210002002221102000122110
4302201211102011113310022
5213111142241113230010
62104333524415403150
764543102300451664
oct6241452205276412
91063702087360573
10222210100133130
116489185757992a
1220b09980b234b6
1396cb4267a2885
143cc3051d9d534
151aa52dbe14120
hexca1952157d0a

222210100133130 has 128 divisors (see below), whose sum is σ = 570282732748800. Its totient is φ = 55290133382400.

The previous prime is 222210100133117. The next prime is 222210100133191. The reversal of 222210100133130 is 31331001012222.

It is a super-2 number, since 2×2222101001331302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222210100133097 and 222210100133106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13661835 + ... + 25121025.

It is an arithmetic number, because the mean of its divisors is an integer number (4455333849600).

Almost surely, 2222210100133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222210100133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285141366374400).

222210100133130 is an abundant number, since it is smaller than the sum of its proper divisors (348072632615670).

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

222210100133130 is a wasteful number, since it uses less digits than its factorization.

222210100133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459980.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 222210100133130 its reverse (31331001012222), we get a palindrome (253541101145352).

The spelling of 222210100133130 in words is "two hundred twenty-two trillion, two hundred ten billion, one hundred million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 719 870 899 930 1438 1798 2157 2697 3595 4314 4495 5394 7190 8990 10785 13485 20851 21570 22289 26970 41702 44578 62553 66867 104255 111445 125106 133734 208510 222890 312765 334335 625530 646381 668670 1292762 1939143 3231905 3878286 6463810 9695715 11459191 19391430 22918382 34377573 57295955 68755146 114591910 171887865 332316539 343775730 355234921 664633078 710469842 996949617 1065704763 1661582695 1776174605 1993899234 2131409526 3323165390 3552349210 4984748085 5328523815 8239158329 9969496170 10301812709 10657047630 16478316658 20603625418 24717474987 30905438127 41195791645 49434949974 51509063545 61810876254 82391583290 103018127090 123587374935 154527190635 238935591541 247174749870 255413908199 309054381270 477871183082 510827816398 716806774623 766241724597 1194677957705 1277069540995 1433613549246 1532483449194 2389355915410 2554139081990 3584033873115 3831208622985 7168067746230 7407003337771 7662417245970 14814006675542 22221010013313 37035016688855 44442020026626 74070033377710 111105050066565 222210100133130