Search a number
-
+
102522135141 = 3211391348349
BaseRepresentation
bin101111101111011001…
…0111010001001100101
3100210121221111002020100
41133132302322021211
53134431131311031
6115033101054313
710256410525116
oct1373662721145
9323557432210
10102522135141
113a530088608
1217a52557399
13988b1bc0ba
144d67dd420d
152a00888de6
hex17decba265

102522135141 has 6 divisors (see below), whose sum is σ = 148087528550. Its totient is φ = 68348090088.

The previous prime is 102522135109. The next prime is 102522135179. The reversal of 102522135141 is 141531225201.

It is a happy number.

102522135141 is a `hidden beast` number, since 1 + 0 + 2 + 522 + 135 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88355184516 + 14166950625 = 297246^2 + 119025^2 .

It is not a de Polignac number, because 102522135141 - 25 = 102522135109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102522130141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5695674166 + ... + 5695674183.

Almost surely, 2102522135141 is an apocalyptic number.

It is an amenable number.

102522135141 is a deficient number, since it is larger than the sum of its proper divisors (45565393409).

102522135141 is a wasteful number, since it uses less digits than its factorization.

102522135141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391348355 (or 11391348352 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 102522135141 in words is "one hundred two billion, five hundred twenty-two million, one hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11391348349 34174045047 102522135141