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2117013717 = 371329267401
BaseRepresentation
bin111111000101111…
…0001000011010101
312110112112102212110
41332023301003111
513313423414332
6550022541233
7103314214440
oct17613610325
95415472773
102117013717
11996aa9815
124b0b97819
13279796c50
14161238657
15c5cc84cc
hex7e2f10d5

2117013717 has 32 divisors (see below), whose sum is σ = 3593882880. Its totient is φ = 1078156800.

The previous prime is 2117013707. The next prime is 2117013749. The reversal of 2117013717 is 7173107112.

It is not a de Polignac number, because 2117013717 - 27 = 2117013589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117013707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125784 + ... + 141617.

It is an arithmetic number, because the mean of its divisors is an integer number (112308840).

Almost surely, 22117013717 is an apocalyptic number.

It is an amenable number.

2117013717 is a deficient number, since it is larger than the sum of its proper divisors (1476869163).

2117013717 is a wasteful number, since it uses less digits than its factorization.

2117013717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267453.

The product of its (nonzero) digits is 2058, while the sum is 30.

The square root of 2117013717 is about 46011.0173436754. The cubic root of 2117013717 is about 1284.0281865834.

The spelling of 2117013717 in words is "two billion, one hundred seventeen million, thirteen thousand, seven hundred seventeen".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 377 609 1131 2639 7917 267401 802203 1871807 3476213 5615421 7754629 10428639 23263887 24333491 54282403 73000473 100810177 162847209 302430531 705671239 2117013717