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1010122210120 = 23537367702561
BaseRepresentation
bin11101011001011111111…
…10011011101101001000
310120120022011010222101011
432230233332123231020
5113022212241210440
62052013240333304
7132656525055502
oct16545776335510
93516264128334
101010122210120
1135a432721201
12143927a74234
137433c3a4b9a
1436c668dcd72
151b4202149ea
hexeb2ff9bb48

1010122210120 has 32 divisors (see below), whose sum is σ = 2278868236920. Its totient is φ = 402965637120.

The previous prime is 1010122210043. The next prime is 1010122210159. The reversal of 1010122210120 is 210122210101.

It can be written as a sum of positive squares in 4 ways, for example, as 882446056996 + 127676153124 = 939386^2 + 357318^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010122210120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33836361 + ... + 33866200.

Almost surely, 21010122210120 is an apocalyptic number.

1010122210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010122210120 is an abundant number, since it is smaller than the sum of its proper divisors (1268746026800).

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

1010122210120 is a wasteful number, since it uses less digits than its factorization.

1010122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67702945 (or 67702941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010122210120 its reverse (210122210101), we get a palindrome (1220244420221).

It can be divided in two parts, 101012 and 2210120, that added together give a palindrome (2311132).

The spelling of 1010122210120 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 373 746 1492 1865 2984 3730 7460 14920 67702561 135405122 270810244 338512805 541620488 677025610 1354051220 2708102440 25253055253 50506110506 101012221012 126265276265 202024442024 252530552530 505061105060 1010122210120