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413112134001 = 3731798032669
BaseRepresentation
bin1100000001011110110…
…01101110100101110001
31110111022111100210101110
412000233121232211301
523232023201242001
6513440414423533
741563206125640
oct6005731564561
91414274323343
10413112134001
1114a222036786
1268092501ba9
132cc58011808
1415dcd79b357
15ab2caea3d6
hex602f66e971

413112134001 has 32 divisors (see below), whose sum is σ = 658036326400. Its totient is φ = 225557317440.

The previous prime is 413112133991. The next prime is 413112134003. The reversal of 413112134001 is 100431211314.

It is not a de Polignac number, because 413112134001 - 25 = 413112133969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413112134003) 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, 3964906 + ... + 4067763.

It is an arithmetic number, because the mean of its divisors is an integer number (20563635200).

Almost surely, 2413112134001 is an apocalyptic number.

It is an amenable number.

413112134001 is a deficient number, since it is larger than the sum of its proper divisors (244924192399).

413112134001 is a wasteful number, since it uses less digits than its factorization.

413112134001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032789.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 413112134001 its reverse (100431211314), we get a palindrome (513543345315).

The spelling of 413112134001 in words is "four hundred thirteen billion, one hundred twelve million, one hundred thirty-four thousand, one".

Divisors: 1 3 7 21 31 79 93 217 237 553 651 1659 2449 7347 17143 51429 8032669 24098007 56228683 168686049 249012739 634580851 747038217 1743089173 1903742553 4442065957 5229267519 13326197871 19672006381 59016019143 137704044667 413112134001