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21202102112020 = 22529431914450913
BaseRepresentation
bin1001101001000011111111…
…10000111100111100010100
32210001220022221122222012221
410310201333300330330110
510234333401120041040
6113032040010152124
74315541566256254
oct464417760747424
983056287588187
1021202102112020
1168348409a4a95
122465139122644
13baa4712489bb
14534289a21964
1526b7ae3a474a
hex13487fc3cf14

21202102112020 has 96 divisors (see below), whose sum is σ = 47377665054720. Its totient is φ = 7956094218240.

The previous prime is 21202102111979. The next prime is 21202102112041. The reversal of 21202102112020 is 2021120120212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21202102111985 and 21202102112003.

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, 2538084 + ... + 6988996.

It is an arithmetic number, because the mean of its divisors is an integer number (493517344320).

Almost surely, 221202102112020 is an apocalyptic number.

21202102112020 is a gapful number since it is divisible by the number (20) 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 21202102112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688832527360).

21202102112020 is an abundant number, since it is smaller than the sum of its proper divisors (26175562942700).

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

21202102112020 is a wasteful number, since it uses less digits than its factorization.

21202102112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451185 (or 4451183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21202102112020 its reverse (2021120120212), we get a palindrome (23223222232232).

The spelling of 21202102112020 in words is "twenty-one trillion, two hundred two billion, one hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 191 215 290 382 430 580 764 860 955 1247 1910 2494 3820 4988 5539 6235 8213 11078 12470 16426 22156 24940 27695 32852 41065 55390 82130 110780 164260 238177 476354 952708 1190885 2381770 4450913 4763540 8901826 17803652 22254565 44509130 89018260 129076477 191389259 258152954 382778518 516305908 645382385 765557036 850124383 956946295 1290764770 1700248766 1913892590 2581529540 3400497532 3827785180 4250621915 5550288511 8501243830 11100577022 17002487660 22201154044 24653607107 27751442555 36555348469 49307214214 55502885110 73110696938 98614428428 111005770220 123268035535 146221393876 182776742345 246536071070 365553484690 493072142140 731106969380 1060105105601 2120210211202 4240420422404 5300525528005 10601051056010 21202102112020