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20020120120100 = 2252200201201201
BaseRepresentation
bin1001000110101010011000…
…01001011110101100100100
32121212220102121000111201002
410203111030021132230210
510111002201222320400
6110325041034052432
74134256145150102
oct443251411365444
977786377014632
1020020120120100
116419537980071
1222b404987a118
13b22b73828149
144d2d9c490c72
1524ab8142ced5
hex12354c25eb24

20020120120100 has 18 divisors (see below), whose sum is σ = 43443660660834. Its totient is φ = 8008048048000.

The previous prime is 20020120120051. The next prime is 20020120120109. The reversal of 20020120120100 is 102102102002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 79530724 + 20020040589376 = 8918^2 + 4474376^2 .

It is not an unprimeable number, because it can be changed into a prime (20020120120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100100600501 + ... + 100100600700.

Almost surely, 220020120120100 is an apocalyptic number.

20020120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020120120100 is an abundant number, since it is smaller than the sum of its proper divisors (23423540540734).

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

20020120120100 is a wasteful number, since it uses less digits than its factorization.

20020120120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200201201215 (or 200201201208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20020120120100 its reverse (102102102002), we get a palindrome (20122222222102).

The spelling of 20020120120100 in words is "twenty trillion, twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200201201201 400402402402 800804804804 1001006006005 2002012012010 4004024024020 5005030030025 10010060060050 20020120120100