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10020222102020 = 2251357416712997
BaseRepresentation
bin1001000111010000001111…
…0001110110101000000100
31022110220221111200110202212
42101310003301312220010
52303132403324231040
633151120530522552
72052636305361044
oct221640361665004
938426844613685
1010020222102020
113213609171629
121159ba0136458
13578b97858570
14268da4b0b724
151259b0431d65
hex91d03c76a04

10020222102020 has 48 divisors (see below), whose sum is σ = 22665068295408. Its totient is φ = 3699129315840.

The previous prime is 10020222102013. The next prime is 10020222102067. The reversal of 10020222102020 is 2020122202001.

It can be written as a sum of positive squares in 8 ways, for example, as 1692241943044 + 8327980158976 = 1300862^2 + 2885824^2 .

It is a super-3 number, since 3×100202221020203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020222101986 and 10020222102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863839 + ... + 4849158.

It is an arithmetic number, because the mean of its divisors is an integer number (472188922821).

Almost surely, 210020222102020 is an apocalyptic number.

10020222102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020222102020 is an abundant number, since it is smaller than the sum of its proper divisors (12644846193388).

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

10020222102020 is a wasteful number, since it uses less digits than its factorization.

10020222102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718760 (or 6718758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10020222102020 its reverse (2020122202001), we get a palindrome (12040344304021).

The spelling of 10020222102020 in words is "ten trillion, twenty billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5741 11482 22964 28705 57410 74633 114820 149266 298532 373165 746330 1492660 6712997 13425994 26851988 33564985 67129970 87268961 134259940 174537922 349075844 436344805 872689610 1745379220 38539315777 77078631554 154157263108 192696578885 385393157770 501011105101 770786315540 1002022210202 2004044420404 2505055525505 5010111051010 10020222102020