Search a number
-
+
131155434342 = 23264180914051
BaseRepresentation
bin111101000100101111…
…0010001101101100110
3110112112110002101120100
41322021132101231212
54122101242344332
6140130232044530
712322103540412
oct1721136215546
9415473071510
10131155434342
1150693907049
1221503833746
13c4a23942aa
1464c2b17d42
1536294e967c
hex1e89791b66

131155434342 has 48 divisors (see below), whose sum is σ = 284985520560. Its totient is φ = 43593216000.

The previous prime is 131155434337. The next prime is 131155434349. The reversal of 131155434342 is 243434551131.

131155434342 is a `hidden beast` number, since 1 + 31 + 1 + 5 + 543 + 43 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131155434297 and 131155434306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155434349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9327217 + ... + 9341267.

It is an arithmetic number, because the mean of its divisors is an integer number (5937198345).

Almost surely, 2131155434342 is an apocalyptic number.

131155434342 is an abundant number, since it is smaller than the sum of its proper divisors (153830086218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131155434342 is a wasteful number, since it uses less digits than its factorization.

131155434342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15509 (or 15506 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 131155434342 its reverse (243434551131), we get a palindrome (374589985473).

The spelling of 131155434342 in words is "one hundred thirty-one billion, one hundred fifty-five million, four hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 641 809 1282 1618 1923 2427 3846 4854 5769 7281 11538 14051 14562 28102 42153 84306 126459 252918 518569 1037138 1555707 3111414 4667121 9006691 9334242 11367259 18013382 22734518 27020073 34101777 54040146 68203554 81060219 102305331 162120438 204610662 7286413019 14572826038 21859239057 43718478114 65577717171 131155434342