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340013331130221 = 32798330323181063
BaseRepresentation
bin100110101001111011000010…
…1110100100010011101101101
31122120212221211122202011220100
41031103312011310202131231
5324031234300232131341
63203051545024541313
7131422103212344510
oct11523660564423555
91576787748664810
10340013331130221
119937a931325a91
1232174a40781839
131179517284b5c8
145dd6a39634d77
1529497d8ada3b6
hex1353d85d2276d

340013331130221 has 48 divisors (see below), whose sum is σ = 561884479543296. Its totient is φ = 194088205751328.

The previous prime is 340013331130217. The next prime is 340013331130229. The reversal of 340013331130221 is 122031133310043.

340013331130221 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 3 + 331 + 1 + 302 + 21 = 666.

It is not a de Polignac number, because 340013331130221 - 22 = 340013331130217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340013331130229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877782536 + ... + 1877963598.

It is an arithmetic number, because the mean of its divisors is an integer number (11705926657152).

Almost surely, 2340013331130221 is an apocalyptic number.

It is an amenable number.

340013331130221 is a deficient number, since it is larger than the sum of its proper divisors (221871148413075).

340013331130221 is a wasteful number, since it uses less digits than its factorization.

340013331130221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212382 (or 212379 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 340013331130221 its reverse (122031133310043), we get a palindrome (462044464440264).

The spelling of 340013331130221 in words is "three hundred forty trillion, thirteen billion, three hundred thirty-one million, one hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 983 2949 6881 8847 20643 30323 61929 90969 181063 212261 272907 543189 636783 1267441 1629567 1910349 3802323 11406969 29807509 89422527 177984929 208652563 268267581 533954787 625957689 1245894503 1601864361 1877873067 3737683509 5490373349 11213050527 16471120047 38432613443 49413360141 115297840329 345893520987 5397037002067 16191111006201 37779259014469 48573333018603 113337777043407 340013331130221