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102200021200212 = 223131744937545323
BaseRepresentation
bin10111001111001101001011…
…111101011010110101010100
3111101212020010012100010222020
4113033031023331122311110
5101343421120411401322
61001210012552133140
730345464540612445
oct2717151375326524
9441766105303866
10102200021200212
112a6228706891a1
12b5670703971b0
13450456120cc90
141b347165012cc
15bc36cca0d05c
hex5cf34bf5ad54

102200021200212 has 48 divisors (see below), whose sum is σ = 256825034289600. Its totient is φ = 31444357356288.

The previous prime is 102200021200111. The next prime is 102200021200357. The reversal of 102200021200212 is 212002120002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200021200191 and 102200021200200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16050618 + ... + 21494705.

It is an arithmetic number, because the mean of its divisors is an integer number (5350521547700).

Almost surely, 2102200021200212 is an apocalyptic number.

102200021200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200021200212 is an abundant number, since it is smaller than the sum of its proper divisors (154625013089388).

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

102200021200212 is a wasteful number, since it uses less digits than its factorization.

102200021200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37562792 (or 37562790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200021200212 its reverse (212002120002201), we get a palindrome (314202141202413).

The spelling of 102200021200212 in words is "one hundred two trillion, two hundred billion, twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 17449 34898 52347 69796 104694 209388 226837 453674 680511 907348 1361022 2722044 37545323 75090646 112635969 150181292 225271938 450543876 488089199 976178398 1464267597 1952356796 2928535194 5857070388 655128341027 1310256682054 1965385023081 2620513364108 3930770046162 7861540092324 8516668433351 17033336866702 25550005300053 34066673733404 51100010600106 102200021200212