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1022012202020 = 2251572291421317
BaseRepresentation
bin11101101111101001010…
…11001001110000100100
310121200222210021010222112
432313310223021300210
5113221040110431040
62101301140220152
7133560262245065
oct16676453116044
93550883233875
101022012202020
11364484276097
121460a599a658
13754b5800754
1437673a8256c
151b8b8ea5365
hexedf4ac9c24

1022012202020 has 48 divisors (see below), whose sum is σ = 2169329237040. Its totient is φ = 404426939904.

The previous prime is 1022012202017. The next prime is 1022012202031. The reversal of 1022012202020 is 202022102201.

It can be written as a sum of positive squares in 8 ways, for example, as 76804362496 + 945207839524 = 277136^2 + 972218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022012201986 and 1022012202004.

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, 8402 + ... + 1429718.

It is an arithmetic number, because the mean of its divisors is an integer number (45194359105).

Almost surely, 21022012202020 is an apocalyptic number.

1022012202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022012202020 is an abundant number, since it is smaller than the sum of its proper divisors (1147317035020).

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

1022012202020 is a wasteful number, since it uses less digits than its factorization.

1022012202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421712 (or 1421710 counting only the distinct ones).

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

Adding to 1022012202020 its reverse (202022102201), we get a palindrome (1224034304221).

The spelling of 1022012202020 in words is "one trillion, twenty-two billion, twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 157 229 314 458 628 785 916 1145 1570 2290 3140 4580 35953 71906 143812 179765 359530 719060 1421317 2842634 5685268 7106585 14213170 28426340 223146769 325481593 446293538 650963186 892587076 1115733845 1301926372 1627407965 2231467690 3254815930 4462935380 6509631860 51100610101 102201220202 204402440404 255503050505 511006101010 1022012202020