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102114201334341 = 379405295170049
BaseRepresentation
bin10111001101111101010000…
…101100100111001001000101
3111101120000121021010020212110
4113031331100230213021011
5101341014341020144331
61001102341054411233
730336336050030040
oct2715752054471105
9441500537106773
10102114201334341
112a59a4315a5809
12b5524bb500b19
1344c943542c361
141b304d4847c57
15bc1358639946
hex5cdf50b27245

102114201334341 has 16 divisors (see below), whose sum is σ = 155602788048000. Its totient is φ = 58350898864128.

The previous prime is 102114201334291. The next prime is 102114201334373. The reversal of 102114201334341 is 143433102411201.

It is not a de Polignac number, because 102114201334341 - 29 = 102114201333829 is a prime.

It is a super-3 number, since 3×1021142013343413 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102114201334299 and 102114201334308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102114201334391) 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, 17166085 + ... + 22336133.

It is an arithmetic number, because the mean of its divisors is an integer number (9725174253000).

Almost surely, 2102114201334341 is an apocalyptic number.

It is an amenable number.

102114201334341 is a deficient number, since it is larger than the sum of its proper divisors (53488586713659).

102114201334341 is an equidigital number, since it uses as much as digits as its factorization.

102114201334341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110588.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 102114201334341 its reverse (143433102411201), we get a palindrome (245547303745542).

The spelling of 102114201334341 in words is "one hundred two trillion, one hundred fourteen billion, two hundred one million, three hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 7 21 940529 2821587 5170049 6583703 15510147 19751109 36190343 108571029 4862581015921 14587743047763 34038067111447 102114201334341