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2314340434131 = 311373237758543
BaseRepresentation
bin100001101011011001011…
…100001000000011010011
322012020201100211102010020
4201223121130020003103
5300404232122343011
64531105431234523
7326130341052315
oct41533134100323
98166640742106
102314340434131
11812562927540
1231464bb18a43
1313a31a388c5b
148002c3a57b5
1540304619006
hex21ad97080d3

2314340434131 has 32 divisors (see below), whose sum is σ = 3457460640768. Its totient is φ = 1364656170240.

The previous prime is 2314340434103. The next prime is 2314340434139. The reversal of 2314340434131 is 1314340434132.

It is not a de Polignac number, because 2314340434131 - 210 = 2314340433107 is a prime.

It is a super-2 number, since 2×23143404341312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2314340434092 and 2314340434101.

It is not an unprimeable number, because it can be changed into a prime (2314340434139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39503046 + ... + 39561588.

It is an arithmetic number, because the mean of its divisors is an integer number (108045645024).

Almost surely, 22314340434131 is an apocalyptic number.

2314340434131 is a deficient number, since it is larger than the sum of its proper divisors (1143120206637).

2314340434131 is a wasteful number, since it uses less digits than its factorization.

2314340434131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90971.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 2314340434131 its reverse (1314340434132), we get a palindrome (3628680868263).

Subtracting from 2314340434131 its reverse (1314340434132), we obtain a palindrome (999999999999).

The spelling of 2314340434131 in words is "two trillion, three hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 32377 58543 97131 175629 356147 643973 1068441 1197949 1931919 2166091 3593847 6498273 13177439 23827001 39532317 71481003 1895446711 5686340133 20849913821 62549741463 70131528307 210394584921 771446811377 2314340434131