Search a number
-
+
102000311311311 = 3272416718060417
BaseRepresentation
bin10111001100010011001100…
…010100101001101111001111
3111101011010122001221122002100
4113030103030110221233033
5101332133114143430221
61000534143544130143
730325164541560420
oct2714231424515717
9441133561848070
10102000311311311
112a5560a8657836
12b534415a66953
1344bb78503879a
141b28bacb7b647
15bbd3dec92926
hex5cc4cc529bcf

102000311311311 has 24 divisors (see below), whose sum is σ = 169080144600224. Its totient is φ = 58044041994240.

The previous prime is 102000311311267. The next prime is 102000311311321. The reversal of 102000311311311 is 113113113000201.

102000311311311 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 0 + 31 + 1 + 311 + 311 = 666.

It is not a de Polignac number, because 102000311311311 - 223 = 102000302922703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000311311321) 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, 3359015026 + ... + 3359045391.

Almost surely, 2102000311311311 is an apocalyptic number.

102000311311311 is a deficient number, since it is larger than the sum of its proper divisors (67079833288913).

102000311311311 is a wasteful number, since it uses less digits than its factorization.

102000311311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718060671 (or 6718060668 counting only the distinct ones).

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

Adding to 102000311311311 its reverse (113113113000201), we get a palindrome (215113424311512).

The spelling of 102000311311311 in words is "one hundred two trillion, three hundred eleven million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 241 723 1687 2169 5061 15183 6718060417 20154181251 47026422919 60462543753 141079268757 423237806271 1619052560497 4857157681491 11333367923479 14571473044473 34000103770437 102000311311311