Search a number
-
+
102135141321431 = 673211371822519
BaseRepresentation
bin10111001110010000110000…
…110100010100101011010111
3111101122000122121101210222212
4113032100300310110223113
5101341340232134241211
61001120123003144035
730341010005005061
oct2716206064245327
9441560577353885
10102135141321431
112a5a82a7688a69
12b55658421501b
1344cb3c179136a
141b3151d8d8731
15bc1b81b8038b
hex5ce430d14ad7

102135141321431 has 8 divisors (see below), whose sum is σ = 102335312106720. Its totient is φ = 101935114186752.

The previous prime is 102135141321403. The next prime is 102135141321439. The reversal of 102135141321431 is 134123141531201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102135141321431 is a prime.

It is a super-2 number, since 2×1021351413214312 (a number of 29 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 (102135141321439) 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 7 ways as a sum of consecutive naturals, for example, 34489211 + ... + 37333308.

It is an arithmetic number, because the mean of its divisors is an integer number (12791914013340).

Almost surely, 2102135141321431 is an apocalyptic number.

102135141321431 is a deficient number, since it is larger than the sum of its proper divisors (200170785289).

102135141321431 is an equidigital number, since it uses as much as digits as its factorization.

102135141321431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71825305.

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 102135141321431 its reverse (134123141531201), we get a palindrome (236258282852632).

The spelling of 102135141321431 in words is "one hundred two trillion, one hundred thirty-five billion, one hundred forty-one million, three hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 673 2113 1422049 71822519 48336555287 151760982647 102135141321431