Search a number
-
+
390112121211093 = 32193215970939937
BaseRepresentation
bin101100010110011100000111…
…0011010000100100011010101
31220011021100120110212112021100
41120230320032122010203111
5402113044111012223333
63501411011232340313
7145112446014654261
oct13054701632044325
91804240513775240
10390112121211093
11103335692249006
12379064140a4699
131398a5521c5a28
146c4975530b0a1
153017aa163a213
hex162ce0e6848d5

390112121211093 has 24 divisors (see below), whose sum is σ = 593171385580800. Its totient is φ = 246378937883904.

The previous prime is 390112121211077. The next prime is 390112121211151.

390112121211093 is a `hidden beast` number, since 390 + 1 + 121 + 21 + 21 + 109 + 3 = 666.

390112121211093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 390112121211093 - 24 = 390112121211077 is a prime.

It is a super-2 number, since 2×3901121212110932 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390112121211493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29970780 + ... + 40969157.

It is an arithmetic number, because the mean of its divisors is an integer number (24715474399200).

Almost surely, 2390112121211093 is an apocalyptic number.

It is an amenable number.

390112121211093 is a deficient number, since it is larger than the sum of its proper divisors (203059264369707).

390112121211093 is a wasteful number, since it uses less digits than its factorization.

390112121211093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70972121 (or 70972118 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 390112121211093 in words is "three hundred ninety trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, ninety-three".

Divisors: 1 3 9 19 57 171 32159 96477 289431 611021 1833063 5499189 70939937 212819811 638459433 1347858803 4043576409 12130729227 2281357433983 6844072301949 20532216905847 43345791245677 130037373737031 390112121211093