Search a number
-
+
12313012001193 = 3214094663208231
BaseRepresentation
bin1011001100101101100010…
…1101001101100110101001
31121121010000222101021112200
42303023120231031212221
53103214022033014233
642104304123330413
72410404626065401
oct263133055154651
947533028337480
1012313012001193
113a17a123031a2
12146a416980a09
136b415c232887
14307d4acd1801
15165452b02313
hexb32d8b4d9a9

12313012001193 has 24 divisors (see below), whose sum is σ = 17801986899840. Its totient is φ = 8201050260480.

The previous prime is 12313012001179. The next prime is 12313012001209. The reversal of 12313012001193 is 39110021031321.

12313012001193 is a `hidden beast` number, since 12 + 31 + 301 + 200 + 119 + 3 = 666.

It is not a de Polignac number, because 12313012001193 - 216 = 12313011935657 is a prime.

It is a super-2 number, since 2×123130120011932 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12313012001893) 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 23 ways as a sum of consecutive naturals, for example, 59027388 + ... + 59235618.

It is an arithmetic number, because the mean of its divisors is an integer number (741749454160).

Almost surely, 212313012001193 is an apocalyptic number.

It is an amenable number.

12313012001193 is a deficient number, since it is larger than the sum of its proper divisors (5488974898647).

12313012001193 is a wasteful number, since it uses less digits than its factorization.

12313012001193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214309 (or 214306 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12313012001193 in words is "twelve trillion, three hundred thirteen billion, twelve million, one thousand, one hundred ninety-three".

Divisors: 1 3 9 1409 4227 4663 12681 13989 41967 208231 624693 1874079 6570167 19710501 59131503 293397479 880192437 970981153 2640577311 2912943459 8738830377 1368112444577 4104337333731 12313012001193