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100120012002 = 23239720116967
BaseRepresentation
bin101110100111110011…
…1100010010011100010
3100120102112110120202200
41131033213202103202
53120021210341002
6113554451154030
710143032026503
oct1351747422342
9316375416680
10100120012002
113950815597a
12174a1ba5916
13959763bc6a
144bbad80baa
15290ea43b1c
hex174f9e24e2

100120012002 has 48 divisors (see below), whose sum is σ = 217612479552. Its totient is φ = 33267944160.

The previous prime is 100120012001. The next prime is 100120012087. The reversal of 100120012002 is 200210021001.

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

It is not an unprimeable number, because it can be changed into a prime (100120012001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14367123 + ... + 14374089.

It is an arithmetic number, because the mean of its divisors is an integer number (4533593324).

Almost surely, 2100120012002 is an apocalyptic number.

100120012002 is an abundant number, since it is smaller than the sum of its proper divisors (117492467550).

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

100120012002 is a wasteful number, since it uses less digits than its factorization.

100120012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120012002 its reverse (200210021001), we get a palindrome (300330033003).

The spelling of 100120012002 in words is "one hundred billion, one hundred twenty million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 397 794 1191 2011 2382 3573 4022 6033 6967 7146 12066 13934 18099 20901 36198 41802 62703 125406 798367 1596734 2395101 2765899 4790202 5531798 7185303 8297697 14010637 14370606 16595394 24893091 28021274 42031911 49786182 84063822 126095733 252191466 5562222889 11124445778 16686668667 33373337334 50060006001 100120012002