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12312313002200 = 2352192170530651
BaseRepresentation
bin1011001100101010111100…
…0010101111100011011000
31121121001020021002110012002
42303022233002233203120
53103211104112032300
642104110513340132
72410351410513431
oct263125702574330
947531207073162
1012312313002200
113a17693787982
12146a260867648
136b407a483cc3
14307cc2138488
1516541157b5d5
hexb32af0af8d8

12312313002200 has 72 divisors (see below), whose sum is σ = 30212062961580. Its totient is φ = 4665718584000.

The previous prime is 12312313002161. The next prime is 12312313002211. The reversal of 12312313002200 is 220031321321.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 85193126 + ... + 85337525.

Almost surely, 212312313002200 is an apocalyptic number.

12312313002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312313002200 is an abundant number, since it is smaller than the sum of its proper divisors (17899749959380).

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

12312313002200 is a wasteful number, since it uses less digits than its factorization.

12312313002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170530705 (or 170530677 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12312313002200 its reverse (220031321321), we get a palindrome (12532344323521).

It can be divided in two parts, 12312 and 313002200, that multiplied together give a square (3853683086400 = 19630802).

The spelling of 12312313002200 in words is "twelve trillion, three hundred twelve billion, three hundred thirteen million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 7220 9025 14440 18050 36100 72200 170530651 341061302 682122604 852653255 1364245208 1705306510 3240082369 3410613020 4263266275 6480164738 6821226040 8526532550 12960329476 16200411845 17053065100 25920658952 32400823690 34106130200 61561565011 64801647380 81002059225 123123130022 129603294760 162004118450 246246260044 307807825055 324008236900 492492520088 615615650110 648016473800 1231231300220 1539039125275 2462462600440 3078078250550 6156156501100 12312313002200