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102135147381 = 3211348349709
BaseRepresentation
bin101111100011110111…
…0101010101101110101
3100202121222022001211100
41133013232222231311
53133133044204011
6114530434400313
710244001266661
oct1370756525565
9322558261740
10102135147381
113a35169aa13
1217964a30099
139828c85467
144d2c8598a1
1529cb8e5d56
hex17c7baab75

102135147381 has 6 divisors (see below), whose sum is σ = 147528546230. Its totient is φ = 68090098248.

The previous prime is 102135147343. The next prime is 102135147391. The reversal of 102135147381 is 183741531201.

102135147381 is a `hidden beast` number, since 1 + 0 + 2 + 135 + 147 + 381 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91972692900 + 10162454481 = 303270^2 + 100809^2 .

It is not a de Polignac number, because 102135147381 - 219 = 102134623093 is a prime.

It is a super-2 number, since 2×1021351473812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102135147391) 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, 5674174846 + ... + 5674174863.

Almost surely, 2102135147381 is an apocalyptic number.

It is an amenable number.

102135147381 is a deficient number, since it is larger than the sum of its proper divisors (45393398849).

102135147381 is a wasteful number, since it uses less digits than its factorization.

102135147381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11348349715 (or 11348349712 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 102135147381 its reverse (183741531201), we get a palindrome (285876678582).

The spelling of 102135147381 in words is "one hundred two billion, one hundred thirty-five million, one hundred forty-seven thousand, three hundred eighty-one".

Divisors: 1 3 9 11348349709 34045049127 102135147381