Search a number
-
+
121131023013 = 327111313445557
BaseRepresentation
bin111000011001111111…
…0001011101010100101
3102120122211101112101200
41300303332023222211
53441034020214023
6131351414113113
711515511464410
oct1606376135245
9376584345350
10121131023013
114740a339490
121b58664b799
13b56560a860
145c1163cb77
15323e418743
hex1c33f8baa5

121131023013 has 48 divisors (see below), whose sum is σ = 234920789376. Its totient is φ = 58084801920.

The previous prime is 121131023011. The next prime is 121131023071. The reversal of 121131023013 is 310320131121.

121131023013 is a `hidden beast` number, since 121 + 1 + 310 + 230 + 1 + 3 = 666.

It is not a de Polignac number, because 121131023013 - 21 = 121131023011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131023011) 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, 6713770 + ... + 6731787.

It is an arithmetic number, because the mean of its divisors is an integer number (4894183112).

Almost surely, 2121131023013 is an apocalyptic number.

121131023013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121131023013 is a deficient number, since it is larger than the sum of its proper divisors (113789766363).

121131023013 is a wasteful number, since it uses less digits than its factorization.

121131023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13445594 (or 13445591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121131023013 its reverse (310320131121), we get a palindrome (431451154134).

The spelling of 121131023013 in words is "one hundred twenty-one billion, one hundred thirty-one million, twenty-three thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 13445557 40336671 94118899 121010013 147901127 174792241 282356697 443703381 524376723 847070091 1035307889 1223545687 1331110143 1573130169 1922714651 3105923667 3670637061 5768143953 9317771001 11011911183 13459002557 17304431859 40377007671 121131023013