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120100012002 = 2321032628921
BaseRepresentation
bin110111111011010000…
…1001011111111100010
3102110222222100202011200
41233312201023333202
53431431100341002
6131101224022030
711451122154405
oct1576641137742
9373888322150
10120100012002
1146a30364673
121b339301916
13b42cb33479
145b5473bd3c
1531cdb5db1c
hex1bf684bfe2

120100012002 has 36 divisors (see below), whose sum is σ = 262768014054. Its totient is φ = 39644601120.

The previous prime is 120100011989. The next prime is 120100012037. The reversal of 120100012002 is 200210001021.

It can be written as a sum of positive squares in only one way, i.e., 72103527441 + 47996484561 = 268521^2 + 219081^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123499 + ... + 505422.

Almost surely, 2120100012002 is an apocalyptic number.

120100012002 is an abundant number, since it is smaller than the sum of its proper divisors (142668002052).

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

120100012002 is a wasteful number, since it uses less digits than its factorization.

120100012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629135 (or 629029 counting only the distinct ones).

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

Adding to 120100012002 its reverse (200210001021), we get a palindrome (320310013023).

The spelling of 120100012002 in words is "one hundred twenty billion, one hundred million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 10609 21218 31827 63654 95481 190962 628921 1257842 1886763 3773526 5660289 11320578 64778863 129557726 194336589 388673178 583009767 1166019534 6672222889 13344445778 20016668667 40033337334 60050006001 120100012002