Search a number
-
+
213312034342104 = 233463169911298733
BaseRepresentation
bin110000100000000110010100…
…000010001000010011011000
31000222021102122102210112110020
4300200012110002020103120
5210424401021242421404
62033402110140550440
762634200031250215
oct6040062402102330
91028242572715406
10213312034342104
1161a71142397715
121bb11374852420
139204314072b89
143a96501188b0c
15199db0768aed9
hexc201940884d8

213312034342104 has 64 divisors (see below), whose sum is σ = 534746482752000. Its totient is φ = 70908672675456.

The previous prime is 213312034342097. The next prime is 213312034342139. The reversal of 213312034342104 is 401243430213312.

It is a super-2 number, since 2×2133120343421042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13229922 + ... + 24528654.

It is an arithmetic number, because the mean of its divisors is an integer number (8355413793000).

Almost surely, 2213312034342104 is an apocalyptic number.

213312034342104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213312034342104 is an abundant number, since it is smaller than the sum of its proper divisors (321434448409896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213312034342104 is a wasteful number, since it uses less digits than its factorization.

213312034342104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300904 (or 11300900 counting only the distinct ones).

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

Adding to 213312034342104 its reverse (401243430213312), we get a palindrome (614555464555416).

The spelling of 213312034342104 in words is "two hundred thirteen trillion, three hundred twelve billion, thirty-four million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 463 926 1389 1699 1852 2778 3398 3704 5097 5556 6796 10194 11112 13592 20388 40776 786637 1573274 2359911 3146548 4719822 6293096 9439644 11298733 18879288 22597466 33896199 45194932 67792398 90389864 135584796 271169592 5231313379 10462626758 15693940137 19196547367 20925253516 31387880274 38393094734 41850507032 57589642101 62775760548 76786189468 115179284202 125551521096 153572378936 230358568404 460717136808 8888001430921 17776002861842 26664004292763 35552005723684 53328008585526 71104011447368 106656017171052 213312034342104