Search a number
-
+
131311232011220 = 22524237127088891
BaseRepresentation
bin11101110110110101000111…
…010101101100101111010100
3122012221020020112101000210112
4131312311013111230233110
5114202400400343324340
61143135314110342152
736441631511666432
oct3566650725545724
9565836215330715
10131311232011220
1138926865214718
1212888bb5aba958
13583679968b7c1
14245d6d736dd52
15102aa8e5dc065
hex776d4756cbd4

131311232011220 has 24 divisors (see below), whose sum is σ = 275754735136608. Its totient is φ = 52524274154400.

The previous prime is 131311232011213. The next prime is 131311232011229. The reversal of 131311232011220 is 22110232113131.

It is a happy number.

131311232011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1313112320112203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311232011229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8697026 + ... + 18391865.

It is an arithmetic number, because the mean of its divisors is an integer number (11489780630692).

Almost surely, 2131311232011220 is an apocalyptic number.

131311232011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311232011220 is an abundant number, since it is smaller than the sum of its proper divisors (144443503125388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311232011220 is a wasteful number, since it uses less digits than its factorization.

131311232011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27331271 (or 27331269 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131311232011220 its reverse (22110232113131), we get a palindrome (153421464124351).

The spelling of 131311232011220 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred thirty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 242371 484742 969484 1211855 2423710 4847420 27088891 54177782 108355564 135444455 270888910 541777820 6565561600561 13131123201122 26262246402244 32827808002805 65655616005610 131311232011220