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102312032212 = 221317409282977
BaseRepresentation
bin101111101001001000…
…1011011011111010100
3100210002022010202012101
41133102101123133110
53134013340012322
6115000153531444
710251246632125
oct1372221333724
9323068122171
10102312032212
113a432525125
12179b4113b84
139856808440
144d4814204c
1529dc1d6327
hex17d245b7d4

102312032212 has 48 divisors (see below), whose sum is σ = 204661008720. Its totient is φ = 44334415872.

The previous prime is 102312032197. The next prime is 102312032213. The reversal of 102312032212 is 212230213201.

It can be written as a sum of positive squares in 8 ways, for example, as 22107526596 + 80204505616 = 148686^2 + 283204^2 .

It is a super-2 number, since 2×1023120322122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102312032212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312032213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220068 + ... + 503044.

It is an arithmetic number, because the mean of its divisors is an integer number (4263771015).

Almost surely, 2102312032212 is an apocalyptic number.

It is an amenable number.

102312032212 is an abundant number, since it is smaller than the sum of its proper divisors (102348976508).

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

102312032212 is a wasteful number, since it uses less digits than its factorization.

102312032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283420 (or 283418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102312032212 its reverse (212230213201), we get a palindrome (314542245413).

The spelling of 102312032212 in words is "one hundred two billion, three hundred twelve million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 409 442 818 884 1636 5317 6953 10634 13906 21268 27812 90389 180778 282977 361556 565954 1131908 3678701 4810609 7357402 9621218 14714804 19242436 62537917 115737593 125075834 231475186 250151668 462950372 1504588709 1967539081 3009177418 3935078162 6018354836 7870156324 25578008053 51156016106 102312032212