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130400234432141 = 7115435107233071
BaseRepresentation
bin11101101001100100101011…
…101001101110011010001101
3122002201010210112201001012112
4131221210223221232122031
5114042434140003312031
61141201012442513405
736316051241225222
oct3551445351563215
9562633715631175
10130400234432141
113860547989a9a3
1212760532805865
13579b8c6644c6b
14242b595547949
15101202184d62b
hex76992ba6e68d

130400234432141 has 16 divisors (see below), whose sum is σ = 132349036474368. Its totient is φ = 128454582034800.

The previous prime is 130400234432071. The next prime is 130400234432159. The reversal of 130400234432141 is 141234432004031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130400234432141 is a prime.

It is a super-2 number, since 2×1304002344321412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130400234432098 and 130400234432107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400234432341) 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, 559370636 + ... + 559603706.

It is an arithmetic number, because the mean of its divisors is an integer number (8271814779648).

Almost surely, 2130400234432141 is an apocalyptic number.

It is an amenable number.

130400234432141 is a deficient number, since it is larger than the sum of its proper divisors (1948802042227).

130400234432141 is a wasteful number, since it uses less digits than its factorization.

130400234432141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239792.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 130400234432141 its reverse (141234432004031), we get a palindrome (271634666436172).

The spelling of 130400234432141 in words is "one hundred thirty trillion, four hundred billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 71 1543 5107 109553 233071 362597 7880101 16548041 359628553 559487171 1190293597 25533627263 84510845387 1836623020171 130400234432141