Search a number
-
+
131020222311 = 32111323436589
BaseRepresentation
bin111101000000101101…
…0011110111101100111
3110112012000122220112100
41322001122132331213
54121312134103221
6140105002023143
712315542341266
oct1720132367547
9415160586470
10131020222311
1150624555270
12214864a7ab3
13c480372384
1464acb9c5dd
15361c6db926
hex1e8169ef67

131020222311 has 12 divisors (see below), whose sum is σ = 206456108040. Its totient is φ = 79406195280.

The previous prime is 131020222309. The next prime is 131020222327. The reversal of 131020222311 is 113222020131.

131020222311 is a `hidden beast` number, since 1 + 310 + 20 + 2 + 22 + 311 = 666.

It is not a de Polignac number, because 131020222311 - 21 = 131020222309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020222301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661718196 + ... + 661718393.

It is an arithmetic number, because the mean of its divisors is an integer number (17204675670).

Almost surely, 2131020222311 is an apocalyptic number.

131020222311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131020222311 is a deficient number, since it is larger than the sum of its proper divisors (75435885729).

131020222311 is a wasteful number, since it uses less digits than its factorization.

131020222311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323436606 (or 1323436603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131020222311 its reverse (113222020131), we get a palindrome (244242242442).

The spelling of 131020222311 in words is "one hundred thirty-one billion, twenty million, two hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 1323436589 3970309767 11910929301 14557802479 43673407437 131020222311