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202020122120 = 23545711051429
BaseRepresentation
bin1011110000100101010…
…1100110111000001000
3201022110010111112002012
42330021111212320020
511302214122401440
6232450132155052
720411150463605
oct2741125467010
9638403445065
10202020122120
1178749101913
12331a0168a88
13160869c03cb
149ac64d76ac
1553c59ade65
hex2f09566e08

202020122120 has 32 divisors (see below), whose sum is σ = 455539944600. Its totient is φ = 80631218688.

The previous prime is 202020122119. The next prime is 202020122131. The reversal of 202020122120 is 21221020202.

It can be written as a sum of positive squares in 4 ways, for example, as 201958562404 + 61559716 = 449398^2 + 7846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202020122095 and 202020122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5507435 + ... + 5543994.

Almost surely, 2202020122120 is an apocalyptic number.

202020122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020122120 is an abundant number, since it is smaller than the sum of its proper divisors (253519822480).

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

202020122120 is a wasteful number, since it uses less digits than its factorization.

202020122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051897 (or 11051893 counting only the distinct ones).

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

Adding to 202020122120 its reverse (21221020202), we get a palindrome (223241142322).

The spelling of 202020122120 in words is "two hundred two billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 18280 11051429 22102858 44205716 55257145 88411432 110514290 221028580 442057160 5050503053 10101006106 20202012212 25252515265 40404024424 50505030530 101010061060 202020122120