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114312410102131 = 1093113372146969
BaseRepresentation
bin11001111111011101101110…
…100110001111100101110011
3112222202011022101222000111121
4121333131232212033211303
5104440343303441232011
61043042221330323111
733035541041550163
oct3177355646174563
9488664271860447
10114312410102131
113347269142550a
12109a2616a29497
134ba27c9ccaa97
142032a706745a3
15d337dc608e71
hex67f76e98f973

114312410102131 has 8 divisors (see below), whose sum is σ = 115732084010400. Its totient is φ = 112899480488640.

The previous prime is 114312410102017. The next prime is 114312410102197. The reversal of 114312410102131 is 131201014213411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114312410102131 - 27 = 114312410102003 is a prime.

It is a super-3 number, since 3×1143124101021313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114312410102096 and 114312410102105.

It is not an unprimeable number, because it can be changed into a prime (114312410142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686039586 + ... + 1686107383.

It is an arithmetic number, because the mean of its divisors is an integer number (14466510501300).

Almost surely, 2114312410102131 is an apocalyptic number.

114312410102131 is a deficient number, since it is larger than the sum of its proper divisors (1419673908269).

114312410102131 is a wasteful number, since it uses less digits than its factorization.

114312410102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372147389.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 114312410102131 its reverse (131201014213411), we get a palindrome (245513424315542).

The spelling of 114312410102131 in words is "one hundred fourteen trillion, three hundred twelve billion, four hundred ten million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 109 311 33899 3372146969 367564019621 1048737707359 114312410102131