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102120000212 = 221712791174171
BaseRepresentation
bin101111100011011010…
…0111000101011010100
3100202120220210111211002
41133012310320223110
53133120210001322
6114525134002432
710243425452066
oct1370664705324
9322526714732
10102120000212
113a34409469a
121795b946418
139825ab0b39
144d2a835736
1529ca402c92
hex17c6d38ad4

102120000212 has 24 divisors (see below), whose sum is σ = 189370460160. Its totient is φ = 48018856320.

The previous prime is 102120000181. The next prime is 102120000289. The reversal of 102120000212 is 212000021201.

It is a happy number.

102120000212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102120000193 and 102120000202.

It is a congruent number.

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, 500114 + ... + 674057.

It is an arithmetic number, because the mean of its divisors is an integer number (7890435840).

Almost surely, 2102120000212 is an apocalyptic number.

It is an amenable number.

102120000212 is a deficient number, since it is larger than the sum of its proper divisors (87250459948).

102120000212 is a wasteful number, since it uses less digits than its factorization.

102120000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175471 (or 1175469 counting only the distinct ones).

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

Adding to 102120000212 its reverse (212000021201), we get a palindrome (314120021413).

The spelling of 102120000212 in words is "one hundred two billion, one hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 17 34 68 1279 2558 5116 21743 43486 86972 1174171 2348342 4696684 19960907 39921814 79843628 1501764709 3003529418 6007058836 25530000053 51060000106 102120000212