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1022022102020 = 225761213131511
BaseRepresentation
bin11101101111101010100…
…00111010110000000100
310121201000110220010020012
432313311100322300010
5113221100124231040
62101302132325352
7133560442350053
oct16676520726004
93551013803205
101022022102020
11364489918107
121460a9173858
13754b788893a
14376750dc39a
151b8b9cad865
hexedf543ac04

1022022102020 has 48 divisors (see below), whose sum is σ = 2150143422336. Its totient is φ = 408067104000.

The previous prime is 1022022101999. The next prime is 1022022102067. The reversal of 1022022102020 is 202012202201.

1022022102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022022101986 and 1022022102004.

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, 32418065 + ... + 32449575.

It is an arithmetic number, because the mean of its divisors is an integer number (44794654632).

Almost surely, 21022022102020 is an apocalyptic number.

1022022102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022022102020 is an abundant number, since it is smaller than the sum of its proper divisors (1128121320316).

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

1022022102020 is a wasteful number, since it uses less digits than its factorization.

1022022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34412 (or 34410 counting only the distinct ones).

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

Adding to 1022022102020 its reverse (202012202201), we get a palindrome (1224034304221).

The spelling of 1022022102020 in words is "one trillion, twenty-two billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 761 1522 2131 3044 3805 4262 7610 8524 10655 15220 21310 31511 42620 63022 126044 157555 315110 630220 1621691 3243382 6486764 8108455 16216910 23979871 32433820 47959742 67149941 95919484 119899355 134299882 239798710 268599764 335749705 479597420 671499410 1342998820 51101105101 102202210202 204404420404 255505525505 511011051010 1022022102020