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22100021131100 = 22521119255653541
BaseRepresentation
bin1010000011001100011111…
…11010001011011101011100
32220020202000110201021021212
411001212033322023131130
510344041320402143400
6115000335355043552
74440450061065113
oct501461772133534
986222013637255
1022100021131100
117050625867040
12258b1704405b8
13c4403b845a43
1456590a8acc7a
15284d13d74335
hex14198fe8b75c

22100021131100 has 108 divisors (see below), whose sum is σ = 55215214703208. Its totient is φ = 7613404272000.

The previous prime is 22100021131079. The next prime is 22100021131109. The reversal of 22100021131100 is 113112000122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100021131109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27429671 + ... + 28223870.

Almost surely, 222100021131100 is an apocalyptic number.

22100021131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100021131100 is an abundant number, since it is smaller than the sum of its proper divisors (33115193572108).

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

22100021131100 is a wasteful number, since it uses less digits than its factorization.

22100021131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55653604 (or 55653578 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 22100021131100 its reverse (113112000122), we get a palindrome (22213133131222).

The spelling of 22100021131100 in words is "twenty-two trillion, one hundred billion, twenty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 361 380 418 475 550 722 836 950 1045 1100 1444 1805 1900 2090 3610 3971 4180 5225 7220 7942 9025 10450 15884 18050 19855 20900 36100 39710 79420 99275 198550 397100 55653541 111307082 222614164 278267705 556535410 612188951 1057417279 1113070820 1224377902 1391338525 2114834558 2448755804 2782677050 3060944755 4229669116 5287086395 5565354100 6121889510 10574172790 11631590069 12243779020 15304723775 20090928301 21148345580 23263180138 26435431975 30609447550 40181856602 46526360276 52870863950 58157950345 61218895100 80363713204 100454641505 105741727900 116315900690 200909283010 221000211311 232631801380 290789751725 401818566020 442000422622 502273207525 581579503450 884000845244 1004546415050 1105001056555 1163159006900 2009092830100 2210002113110 4420004226220 5525005282775 11050010565550 22100021131100