Search a number
-
+
103011113102013 = 32313975091827139
BaseRepresentation
bin10111011011000000100100…
…110011011110101010111101
3111111201202200120211212202200
4113123000210303132222331
5102000213224423231023
61003030352502342113
730461210261203554
oct2733004463365275
9444652616755680
10103011113102013
112a905849940986
12b6782b142a939
134562ba215074c
141b61a9ba1ad9b
15bd984e994743
hex5db024cdeabd

103011113102013 has 48 divisors (see below), whose sum is σ = 154283116915200. Its totient is φ = 66161105493120.

The previous prime is 103011113102003. The next prime is 103011113102021. The reversal of 103011113102013 is 310201311110301.

103011113102013 is a `hidden beast` number, since 10 + 30 + 1 + 111 + 310 + 201 + 3 = 666.

It is not a de Polignac number, because 103011113102013 - 24 = 103011113101997 is a prime.

It is a super-2 number, since 2×1030111131020132 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011113102003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55464798 + ... + 57291936.

It is an arithmetic number, because the mean of its divisors is an integer number (3214231602400).

Almost surely, 2103011113102013 is an apocalyptic number.

It is an amenable number.

103011113102013 is a deficient number, since it is larger than the sum of its proper divisors (51272003813187).

103011113102013 is a wasteful number, since it uses less digits than its factorization.

103011113102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828082 (or 1828079 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103011113102013 its reverse (310201311110301), we get a palindrome (413212424212314).

The spelling of 103011113102013 in words is "one hundred three trillion, eleven billion, one hundred thirteen million, one hundred two thousand, thirteen".

Divisors: 1 3 9 31 93 279 397 509 1191 1527 3573 4581 12307 15779 36921 47337 110763 142011 202073 606219 1818657 1827139 5481417 6264263 16444251 18792789 56378367 56641309 169923927 509771781 725374183 930013751 2176122549 2790041253 6528367647 8370123759 22486599673 28830426281 67459799019 86491278843 202379397057 259473836529 369215459147 1107646377441 3322939132323 11445679233557 34337037700671 103011113102013