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2112021102020 = 2258910114298221
BaseRepresentation
bin11110101110111110010…
…001000111110111000100
321110220111101022110002112
4132232332101013313010
5234100404400231040
64254125450000152
7305405565106154
oct36567621076704
97426441273075
102112021102020
11744780940845
122a13a7716058
131242166b651b
1474318262764
1539e12755365
hex1ebbe447dc4

2112021102020 has 96 divisors (see below), whose sum is σ = 4533206277600. Its totient is φ = 826366464000.

The previous prime is 2112021102001. The next prime is 2112021102077. The reversal of 2112021102020 is 202011202112.

It can be written as a sum of positive squares in 16 ways, for example, as 217670768704 + 1894350333316 = 466552^2 + 1376354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112021101986 and 2112021102004.

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, 256901510 + ... + 256909730.

It is an arithmetic number, because the mean of its divisors is an integer number (47220898725).

Almost surely, 22112021102020 is an apocalyptic number.

2112021102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112021102020 is an abundant number, since it is smaller than the sum of its proper divisors (2421185175580).

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

2112021102020 is a wasteful number, since it uses less digits than its factorization.

2112021102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112021102020 its reverse (202011202112), we get a palindrome (2314032304132).

The spelling of 2112021102020 in words is "two trillion, one hundred twelve billion, twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 89 101 178 202 356 404 445 505 890 1010 1429 1780 2020 2858 5716 7145 8221 8989 14290 16442 17978 28580 32884 35956 41105 44945 82210 89890 127181 144329 164420 179780 254362 288658 508724 577316 635905 721645 731669 830321 1271810 1443290 1463338 1660642 2543620 2886580 2926676 3321284 3658345 4151605 7316690 8303210 11747809 12845281 14633380 16606420 23495618 25690562 46991236 51381124 58739045 64226405 73898569 117478090 128452810 147797138 234956180 256905620 295594276 369492845 738985690 1045555001 1186528709 1477971380 2091110002 2373057418 4182220004 4746114836 5227775005 5932643545 10455550010 11865287090 20911100020 23730574180 105601055101 211202110202 422404220404 528005275505 1056010551010 2112021102020