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1002010101200 = 24522505025253
BaseRepresentation
bin11101001010011000111…
…01001100010111010000
310112210100210210010221122
432211030131030113100
5112404104041214300
62044152253541412
7132251513221253
oct16451435142720
93483323703848
101002010101200
11356a4a641759
121422431a4868
137364886b834
14366d73b109a
151b0e7e71c85
hexe94c74c5d0

1002010101200 has 30 divisors (see below), whose sum is σ = 2407329269094. Its totient is φ = 400804040320.

The previous prime is 1002010101181. The next prime is 1002010101247. The reversal of 1002010101200 is 21010102001.

It can be written as a sum of positive squares in 3 ways, for example, as 167388993424 + 834621107776 = 409132^2 + 913576^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1252512227 + ... + 1252513026.

Almost surely, 21002010101200 is an apocalyptic number.

1002010101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002010101200 is an abundant number, since it is smaller than the sum of its proper divisors (1405319167894).

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

1002010101200 is a wasteful number, since it uses less digits than its factorization.

1002010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505025271 (or 2505025260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002010101200 its reverse (21010102001), we get a palindrome (1023020203201).

The spelling of 1002010101200 in words is "one trillion, two billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2505025253 5010050506 10020101012 12525126265 20040202024 25050252530 40080404048 50100505060 62625631325 100201010120 125251262650 200402020240 250502525300 501005050600 1002010101200