Search a number
-
+
123013211445045 = 33519318792512661
BaseRepresentation
bin11011111110000100111110…
…110001010101011100110101
3121010112221121012201020221000
4123332010332301111130311
5112110422024112220140
61113343253355313513
734624261024651605
oct3376047661253465
9533487535636830
10123013211445045
1136217678a05109
121196894b74b899
13538413309207c
142253c2a812c05
15e34cc8b66a30
hex6fe13ec55735

123013211445045 has 64 divisors (see below), whose sum is σ = 219940340313600. Its totient is φ = 65232352235520.

The previous prime is 123013211445013. The next prime is 123013211445097. The reversal of 123013211445045 is 540544112310321.

123013211445045 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 2 + 1 + 144 + 504 + 5 = 666.

It is not a de Polignac number, because 123013211445045 - 25 = 123013211445013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47701015 + ... + 50213675.

It is an arithmetic number, because the mean of its divisors is an integer number (3436567817400).

Almost surely, 2123013211445045 is an apocalyptic number.

123013211445045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123013211445045 is a deficient number, since it is larger than the sum of its proper divisors (96927128868555).

123013211445045 is a wasteful number, since it uses less digits than its factorization.

123013211445045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514747 (or 2514741 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 123013211445045 its reverse (540544112310321), we get a palindrome (663557323755366).

The spelling of 123013211445045 in words is "one hundred twenty-three trillion, thirteen billion, two hundred eleven million, four hundred forty-five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 135 193 579 965 1737 1879 2895 5211 5637 8685 9395 16911 26055 28185 50733 84555 253665 362647 1087941 1813235 2512661 3263823 5439705 7537983 9791469 12563305 16319115 22613949 37689915 48957345 67841847 113069745 339209235 484943573 1454830719 2424717865 4364492157 4721290019 7274153595 13093476471 14163870057 21822460785 23606450095 42491610171 65467382355 70819350285 127474830513 212458050855 637374152565 911208973667 2733626921001 4556044868335 8200880763003 13668134605005 24602642289009 41004403815015 123013211445045