Search a number
-
+
12313012001202 = 234112628150801
BaseRepresentation
bin1011001100101101100010…
…1101001101100110110010
31121121010000222101021120000
42303023120231031212302
53103214022033014302
642104304123330430
72410404626065413
oct263133055154662
947533028337500
1012313012001202
113a17a12303200
12146a416980a16
136b415c232893
14307d4acd180a
15165452b0231c
hexb32d8b4d9b2

12313012001202 has 60 divisors (see below), whose sum is σ = 30326492569758. Its totient is φ = 3731215752000.

The previous prime is 12313012001179. The next prime is 12313012001209. The reversal of 12313012001202 is 20210021031321.

12313012001202 is a `hidden beast` number, since 1 + 231 + 30 + 1 + 200 + 1 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8471016071001 + 3841995930201 = 2910501^2 + 1960101^2 .

It is a super-2 number, since 2×123130120012022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12313012001209) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 314055799 + ... + 314095002.

Almost surely, 212313012001202 is an apocalyptic number.

12313012001202 is an abundant number, since it is smaller than the sum of its proper divisors (18013480568556).

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

12313012001202 is a wasteful number, since it uses less digits than its factorization.

12313012001202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628150837 (or 628150817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12313012001202 its reverse (20210021031321), we get a palindrome (32523033032523).

The spelling of 12313012001202 in words is "twelve trillion, three hundred thirteen billion, twelve million, one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 628150801 1256301602 1884452403 3768904806 5653357209 6909658811 11306714418 13819317622 16960071627 20728976433 33920143254 41457952866 50880214881 62186929299 76006246921 101760429762 124373858598 152012493842 186560787897 228018740763 373121575794 456037481526 559682363691 684056222289 1119364727382 1368112444578 2052168666867 4104337333734 6156506000601 12313012001202