Search a number
-
+
12100131322121 = 171459795161357
BaseRepresentation
bin1011000000010100100000…
…0001110111100100001001
31120211202112221211022010102
42300011020001313210021
53041222032104301441
641422420143455145
72356130351136233
oct260051001674411
946752487738112
1012100131322121
113945700755187
1214351055b74b5
1369a06448b80b
142db914265253
1515eb4394a69b
hexb0148077909

12100131322121 has 16 divisors (see below), whose sum is σ = 12822506484480. Its totient is φ = 11378936505600.

The previous prime is 12100131322067. The next prime is 12100131322141. The reversal of 12100131322121 is 12122313100121.

It is a cyclic number.

It is not a de Polignac number, because 12100131322121 - 222 = 12100127127817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100131322093 and 12100131322102.

It is not an unprimeable number, because it can be changed into a prime (12100131322141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197177975 + ... + 197239331.

It is an arithmetic number, because the mean of its divisors is an integer number (801406655280).

Almost surely, 212100131322121 is an apocalyptic number.

It is an amenable number.

12100131322121 is a deficient number, since it is larger than the sum of its proper divisors (722375162359).

12100131322121 is a wasteful number, since it uses less digits than its factorization.

12100131322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70784.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12100131322121 its reverse (12122313100121), we get a palindrome (24222444422242).

The spelling of 12100131322121 in words is "twelve trillion, one hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 1459 7951 24803 61357 135167 1043069 11600509 89519863 197208653 487849507 1521837671 8293441619 711772430713 12100131322121