Search a number
-
+
102211101311 = 1179157749167
BaseRepresentation
bin101111100110001000…
…0011010001001111111
3100202211021012221000212
41133030100122021333
53133312020220221
6114542150343035
710245613012004
oct1371420321177
9322737187025
10102211101311
113a390558260
121798635aa7b
13983b92a007
144d3898b8ab
1529d33eab5b
hex17cc41a27f

102211101311 has 16 divisors (see below), whose sum is σ = 113633802240. Its totient is φ = 91158518880.

The previous prime is 102211101263. The next prime is 102211101313. The reversal of 102211101311 is 113101112201.

It is not a de Polignac number, because 102211101311 - 26 = 102211101247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211101313) 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, 238151 + ... + 511016.

It is an arithmetic number, because the mean of its divisors is an integer number (7102112640).

Almost surely, 2102211101311 is an apocalyptic number.

102211101311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211101311 is a deficient number, since it is larger than the sum of its proper divisors (11422700929).

102211101311 is a wasteful number, since it uses less digits than its factorization.

102211101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749414.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102211101311 its reverse (113101112201), we get a palindrome (215312213512).

The spelling of 102211101311 in words is "one hundred two billion, two hundred eleven million, one hundred one thousand, three hundred eleven".

Divisors: 1 11 79 157 869 1727 12403 136433 749167 8240837 59184193 117619219 651026123 1293811409 9291918301 102211101311