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131011243022231 = 11137154723589941
BaseRepresentation
bin11101110010011101101110…
…100110100001011110010111
3122011212112220210011102022122
4131302131232212201132113
5114132442011203202411
61142345422325250155
736411151506444125
oct3562355646413627
9564775823142278
10131011243022231
1138820613259130
121283aa3426395b
1358143cbc169b0
14244cd99896915
151022d82da59db
hex77276e9a1797

131011243022231 has 32 divisors (see below), whose sum is σ = 156368478260736. Its totient is φ = 108192900816000.

The previous prime is 131011243022227. The next prime is 131011243022249. The reversal of 131011243022231 is 132220342110131.

It is not a de Polignac number, because 131011243022231 - 22 = 131011243022227 is a prime.

It is a super-2 number, since 2×1310112430222312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131011243022231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011243022201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6241280 + ... + 17348661.

It is an arithmetic number, because the mean of its divisors is an integer number (4886514945648).

Almost surely, 2131011243022231 is an apocalyptic number.

131011243022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131011243022231 is a deficient number, since it is larger than the sum of its proper divisors (25357235238505).

131011243022231 is a wasteful number, since it uses less digits than its factorization.

131011243022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23590583.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131011243022231 its reverse (132220342110131), we get a palindrome (263231585132362).

The spelling of 131011243022231 in words is "one hundred thirty-one trillion, eleven billion, two hundred forty-three million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 13 71 143 547 781 923 6017 7111 10153 38837 78221 427207 504881 5553691 23589941 259489351 306669233 1674885811 3373361563 12903697727 18423743921 21773515543 141940674997 167748070451 239508670973 916162538617 1845228774961 10077787924787 11910113002021 131011243022231