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131122221131 = 11157479158507
BaseRepresentation
bin111101000011101111…
…1100101000001001011
3110112110010120222121102
41322013133211001023
54122014242034011
6140123044132015
712321221330036
oct1720737450113
9415403528542
10131122221131
1150677091510
12214b469700b
13c4985358c5
1464bc55001d
15362663873b
hex1e877e504b

131122221131 has 16 divisors (see below), whose sum is σ = 144254960640. Its totient is φ = 118194754080.

The previous prime is 131122221103. The next prime is 131122221173.

131122221131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131122221131 is a prime.

It is a super-2 number, since 2×1311222211312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131122221631) 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, 747980 + ... + 906486.

It is an arithmetic number, because the mean of its divisors is an integer number (9015935040).

Almost surely, 2131122221131 is an apocalyptic number.

131122221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131122221131 is a deficient number, since it is larger than the sum of its proper divisors (13132739509).

131122221131 is a wasteful number, since it uses less digits than its factorization.

131122221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159154.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 131122 and 221131, that added together give a palindrome (352253).

The spelling of 131122221131 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 157 479 1727 5269 75203 158507 827233 1743577 24885599 75924853 273741589 835173383 11920201921 131122221131