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122342200114340 = 225613491213236881
BaseRepresentation
bin11011110100010100000011…
…011000001111110010100100
3121001011210121021111211122102
4123310110003120033302210
5112013423311212124330
61112111121505551232
734524634524522113
oct3364240330176244
9531153537454572
10122342200114340
1135a89043567848
121187a8a3345518
135335a876138ab
14222d5734d9c7a
15e22604a19945
hex6f450360fca4

122342200114340 has 96 divisors (see below), whose sum is σ = 262095625327200. Its totient is φ = 47956943462400.

The previous prime is 122342200114339. The next prime is 122342200114373. The reversal of 122342200114340 is 43411002243221.

It can be written as a sum of positive squares in 16 ways, for example, as 72079658520676 + 50262541593664 = 8489974^2 + 7089608^2 .

It is a super-2 number, since 2×1223422001143402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516352700 + ... + 516589580.

It is an arithmetic number, because the mean of its divisors is an integer number (2730162763825).

Almost surely, 2122342200114340 is an apocalyptic number.

122342200114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122342200114340 is an abundant number, since it is smaller than the sum of its proper divisors (139753425212860).

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

122342200114340 is a wasteful number, since it uses less digits than its factorization.

122342200114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238513 (or 238511 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 122342200114340 its reverse (43411002243221), we get a palindrome (165753202357561).

The spelling of 122342200114340 in words is "one hundred twenty-two trillion, three hundred forty-two billion, two hundred million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 349 610 698 1213 1220 1396 1745 2426 3490 4852 6065 6980 12130 21289 24260 42578 73993 85156 106445 147986 212890 236881 295972 369965 423337 425780 473762 739930 846674 947524 1184405 1479860 1693348 2116685 2368810 4233370 4737620 8466740 14449741 25823557 28899482 51647114 57798964 72248705 82671469 103294228 129117785 144497410 165342938 258235570 287336653 288994820 330685876 413357345 516471140 574673306 826714690 1149346612 1436683265 1653429380 2873366530 5042959609 5746733060 10085919218 17527535833 20171838436 25214798045 35055071666 50429596090 70110143332 87637679165 100280491897 100859192180 175275358330 200560983794 350550716660 401121967588 501402459485 1002804918970 2005609837940 6117110005717 12234220011434 24468440022868 30585550028585 61171100057170 122342200114340