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102221020112220 = 22345121352019287
BaseRepresentation
bin10111001111100000101111…
…100101111010010101011100
3111101221020022122111101220000
4113033200233211322111130
5101344242122122042340
61001223404403454300
730350140112456322
oct2717405745722534
9441836278441800
10102221020112220
112a630766a58629
12b56b150987390
1345065298337b9
141b3574932dd12
15bc400b2e2d30
hex5cf82f97a55c

102221020112220 has 120 divisors (see below), whose sum is σ = 320935494241824. Its totient is φ = 27236465841024.

The previous prime is 102221020112219. The next prime is 102221020112269. The reversal of 102221020112220 is 22211020122201.

It is a happy number.

102221020112220 is a `hidden beast` number, since 1 + 0 + 22 + 210 + 201 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102221020112193 and 102221020112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24044584 + ... + 27974703.

Almost surely, 2102221020112220 is an apocalyptic number.

102221020112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221020112220 is an abundant number, since it is smaller than the sum of its proper divisors (218714474129604).

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

102221020112220 is a wasteful number, since it uses less digits than its factorization.

102221020112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52020521 (or 52020510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221020112220 its reverse (22211020122201), we get a palindrome (124432040234421).

The spelling of 102221020112220 in words is "one hundred two trillion, two hundred twenty-one billion, twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1213 1620 2426 3639 4852 6065 7278 10917 12130 14556 18195 21834 24260 32751 36390 43668 54585 65502 72780 98253 109170 131004 163755 196506 218340 327510 393012 491265 655020 982530 1965060 52019287 104038574 156057861 208077148 260096435 312115722 468173583 520192870 624231444 780289305 936347166 1040385740 1404520749 1560578610 1872694332 2340867915 2809041498 3121157220 4213562247 4681735830 5618082996 7022603745 8427124494 9363471660 14045207490 16854248988 21067811235 28090414980 42135622470 63099395131 84271244940 126198790262 189298185393 252397580524 315496975655 378596370786 567894556179 630993951310 757192741572 946490926965 1135789112358 1261987902620 1703683668537 1892981853930 2271578224716 2839472780895 3407367337074 3785963707860 5111051005611 5678945561790 6814734674148 8518418342685 10222102011222 11357891123580 17036836685370 20444204022444 25555255028055 34073673370740 51110510056110 102221020112220