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131041114233133 = 1342434349546263
BaseRepresentation
bin11101110010111001100011…
…000100001001100100101101
3122011222102000120010011021011
4131302321203010021210231
5114133434200220430013
61142411242401105221
736413256653524426
oct3562714304114455
9564872016104234
10131041114233133
1138832251827a95
1212844790028211
13581717c6c8510
1424505d0b7864d
151023a3053ec3d
hex772e6310992d

131041114233133 has 16 divisors (see below), whose sum is σ = 141187174934400. Its totient is φ = 120904491847104.

The previous prime is 131041114233101. The next prime is 131041114233143. The reversal of 131041114233133 is 331332411140131.

It is a cyclic number.

It is not a de Polignac number, because 131041114233133 - 25 = 131041114233101 is a prime.

It is a super-2 number, since 2×1310411142331332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131041114233095 and 131041114233104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041114233143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239613360 + ... + 240159622.

It is an arithmetic number, because the mean of its divisors is an integer number (8824198433400).

Almost surely, 2131041114233133 is an apocalyptic number.

131041114233133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131041114233133 is a deficient number, since it is larger than the sum of its proper divisors (10146060701267).

131041114233133 is a wasteful number, since it uses less digits than its factorization.

131041114233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554868.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 131041114233133 its reverse (331332411140131), we get a palindrome (462373525373264).

The spelling of 131041114233133 in words is "one hundred thirty-one trillion, forty-one billion, one hundred fourteen million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 13 4243 4349 55159 56537 546263 7101419 18452807 239886491 2317793909 2375697787 30131320817 30884071231 10080085710241 131041114233133