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102200022201012 = 22368631240954177
BaseRepresentation
bin10111001111001101001100…
…000001001111001010110100
3111101212020010021012222210220
4113033031030001033022310
5101343421121140413022
61001210013025414340
730345464552251311
oct2717151401171264
9441766107188726
10102200022201012
112a6228712020aa
12b56707079a3b0
1345045614a0678
141b347166c1d08
15bc36ccb5985c
hex5cf34c04f2b4

102200022201012 has 24 divisors (see below), whose sum is σ = 238501465378176. Its totient is φ = 34061710222848.

The previous prime is 102200022200981. The next prime is 102200022201073. The reversal of 102200022201012 is 210102220002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200022200982 and 102200022201000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 620394733 + ... + 620559444.

It is an arithmetic number, because the mean of its divisors is an integer number (9937561057424).

Almost surely, 2102200022201012 is an apocalyptic number.

102200022201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200022201012 is an abundant number, since it is smaller than the sum of its proper divisors (136301443177164).

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

102200022201012 is a wasteful number, since it uses less digits than its factorization.

102200022201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240961047 (or 1240961045 counting only the distinct ones).

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

Adding to 102200022201012 its reverse (210102220002201), we get a palindrome (312302242203213).

The spelling of 102200022201012 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 6863 13726 20589 27452 41178 82356 1240954177 2481908354 3722862531 4963816708 7445725062 14891450124 8516668516751 17033337033502 25550005550253 34066674067004 51100011100506 102200022201012