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345100113 = 3254170877
BaseRepresentation
bin10100100100011…
…100111101010001
3220001100220100200
4110210130331101
51201321200423
654124405413
711360205531
oct2444347521
9801326320
10345100113
11167888906
12976a6869
135665bb67
1433b934c1
152046bd43
hex1491cf51

345100113 has 12 divisors (see below), whose sum is σ = 499406388. Its totient is φ = 229638240.

The previous prime is 345100111. The next prime is 345100117. The reversal of 345100113 is 311001543.

It can be written as a sum of positive squares in 2 ways, for example, as 269879184 + 75220929 = 16428^2 + 8673^2 .

It is not a de Polignac number, because 345100113 - 21 = 345100111 is a prime.

It is a super-2 number, since 2×3451001132 = 238188175985225538, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345100111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30570 + ... + 40307.

It is an arithmetic number, because the mean of its divisors is an integer number (41617199).

Almost surely, 2345100113 is an apocalyptic number.

It is an amenable number.

345100113 is a deficient number, since it is larger than the sum of its proper divisors (154306275).

345100113 is a wasteful number, since it uses less digits than its factorization.

345100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71424 (or 71421 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 345100113 is about 18576.8703768961. The cubic root of 345100113 is about 701.4257424115.

Adding to 345100113 its reverse (311001543), we get a palindrome (656101656).

The spelling of 345100113 in words is "three hundred forty-five million, one hundred thousand, one hundred thirteen".

Divisors: 1 3 9 541 1623 4869 70877 212631 637893 38344457 115033371 345100113