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100111111032020 = 225118913273852997
BaseRepresentation
bin10110110000110011101111…
…001101100000110011010100
3111010110112021110022210001212
4112300303233031200303110
5101110210023411011040
6552530224241440552
730041534441264144
oct2660635715406324
9433415243283055
10100111111032020
112999797a317070
12b28a254640158
1343b258b88703a
141aa15917a6924
15b891be1cbd65
hex5b0cef360cd4

100111111032020 has 96 divisors (see below), whose sum is σ = 232097201763840. Its totient is φ = 35967871779840.

The previous prime is 100111111032017. The next prime is 100111111032089. The reversal of 100111111032020 is 20230111111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111111031986 and 100111111032004.

It is a congruent number.

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, 24056162 + ... + 27909158.

It is an arithmetic number, because the mean of its divisors is an integer number (2417679185040).

Almost surely, 2100111111032020 is an apocalyptic number.

100111111032020 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 100111111032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116048600881920).

100111111032020 is an abundant number, since it is smaller than the sum of its proper divisors (131986090731820).

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

100111111032020 is a wasteful number, since it uses less digits than its factorization.

100111111032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854433 (or 3854431 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100111111032020 its reverse (20230111111001), we get a palindrome (120341222143021).

The spelling of 100111111032020 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1327 1780 1958 2654 3916 4895 5308 6635 9790 13270 14597 19580 26540 29194 58388 72985 118103 145970 236206 291940 472412 590515 1181030 1299133 2362060 2598266 3852997 5196532 6495665 7705994 12991330 15411988 19264985 25982660 38529970 42382967 77059940 84765934 169531868 211914835 342916733 423829670 685833466 847659340 1371666932 1714583665 3429167330 3772084063 5112927019 6858334660 7544168126 10225854038 15088336252 18860420315 20451708076 25564635095 37720840630 51129270190 56242197209 75441681260 102258540380 112484394418 224968788836 281210986045 455050504691 562421972090 910101009382 1124843944180 1820202018764 2275252523455 4550505046910 5005555551601 9101010093820 10011111103202 20022222206404 25027777758005 50055555516010 100111111032020