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4134013001093 = 1011971303715937
BaseRepresentation
bin111100001010000110011…
…000000101110110000101
3112122012121110210112011002
4330022012120011312011
51020212424312013333
612443050033423045
7604446460503113
oct74120630056605
915565543715132
104134013001093
111354252624928
1256924870aa85
1323cab31c4511
14104131784ab3
15728062b10e8
hex3c286605d85

4134013001093 has 16 divisors (see below), whose sum is σ = 4196721610224. Its totient is φ = 4071737241600.

The previous prime is 4134013001051. The next prime is 4134013001147. The reversal of 4134013001093 is 3901003104314.

It can be written as a sum of positive squares in 8 ways, for example, as 2161555669729 + 1972457331364 = 1470223^2 + 1404442^2 .

It is a cyclic number.

It is not a de Polignac number, because 4134013001093 - 216 = 4134012935557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134013001023) 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, 259389221 + ... + 259405157.

It is an arithmetic number, because the mean of its divisors is an integer number (262295100639).

Almost surely, 24134013001093 is an apocalyptic number.

It is an amenable number.

4134013001093 is a deficient number, since it is larger than the sum of its proper divisors (62708609131).

4134013001093 is a wasteful number, since it uses less digits than its factorization.

4134013001093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 4134013001093 in words is "four trillion, one hundred thirty-four billion, thirteen million, one thousand, ninety-three".

Divisors: 1 101 197 13037 15937 19897 1316737 1609637 2568289 3139589 207770669 259397189 317098489 20984837569 40930821793 4134013001093