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202002010020 = 223251122233389
BaseRepresentation
bin1011110000100001000…
…0100000111110100100
3201022101212102022221200
42330020100200332210
511302200003310040
6232444244042500
720410540516626
oct2741020407644
9638355368850
10202002010020
1178739960a38
1233196093430
131608301b3a5
149ac3d40c16
1553c40d2630
hex2f08420fa4

202002010020 has 36 divisors (see below), whose sum is σ = 612739430940. Its totient is φ = 53867202624.

The previous prime is 202002009997. The next prime is 202002010033. The reversal of 202002010020 is 20010200202.

It can be written as a sum of positive squares in 2 ways, for example, as 140251748004 + 61750262016 = 374502^2 + 248496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202002009984 and 202002010011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561116515 + ... + 561116874.

Almost surely, 2202002010020 is an apocalyptic number.

202002010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002010020 is an abundant number, since it is smaller than the sum of its proper divisors (410737420920).

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

202002010020 is a wasteful number, since it uses less digits than its factorization.

202002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122233404 (or 1122233399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202002010020 its reverse (20010200202), we get a palindrome (222012210222).

The spelling of 202002010020 in words is "two hundred two billion, two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1122233389 2244466778 3366700167 4488933556 5611166945 6733400334 10100100501 11222333890 13466800668 16833500835 20200201002 22444667780 33667001670 40400402004 50500502505 67334003340 101001005010 202002010020