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342301120313031 = 34113124775003143
BaseRepresentation
bin100110111010100100011000…
…0101011101011011011000111
31122212222200000121201021110000
41031311020300223223123013
5324331230143300004111
63212002544102532343
7132046303601502135
oct11565106053533307
91585880017637400
10342301120313031
119a0820a9710410
12324843007370b3
13118ccb1b1a5c59
14607566960c755
152989087261c56
hex1375230aeb6c7

342301120313031 has 80 divisors (see below), whose sum is σ = 576050953218048. Its totient is φ = 200682029390400.

The previous prime is 342301120313023. The next prime is 342301120313041. The reversal of 342301120313031 is 130313021103243.

342301120313031 is a `hidden beast` number, since 3 + 4 + 2 + 301 + 1 + 20 + 31 + 303 + 1 = 666.

It is not a de Polignac number, because 342301120313031 - 23 = 342301120313023 is a prime.

It is a super-2 number, since 2×3423011203130312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342301120312986 and 342301120313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342301120313011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65915646 + ... + 70918788.

Almost surely, 2342301120313031 is an apocalyptic number.

342301120313031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

342301120313031 is a deficient number, since it is larger than the sum of its proper divisors (233749832905017).

342301120313031 is a wasteful number, since it uses less digits than its factorization.

342301120313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005674 (or 5005665 counting only the distinct ones).

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

Adding to 342301120313031 its reverse (130313021103243), we get a palindrome (472614141416274).

The spelling of 342301120313031 in words is "three hundred forty-two trillion, three hundred one billion, one hundred twenty million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 11 27 31 33 81 93 99 279 297 341 837 891 1023 2477 2511 3069 7431 9207 22293 27247 27621 66879 76787 81741 200637 230361 245223 691083 735669 844657 2073249 2207007 2533971 5003143 6219747 7601913 15009429 22805739 45028287 55034573 68417217 135084861 155097433 165103719 405254583 465292299 495311157 1395876897 1485933471 1706071763 4187630691 4457800413 5118215289 12392785211 12562892073 15354645867 37178355633 46063937601 111535066899 136320637321 138191812803 334605200697 384176341541 408961911963 1003815602091 1152529024623 1226885735889 3457587073869 3680657207667 4225939756951 10372761221607 11041971623001 12677819270853 31118283664821 38033457812559 114100373437677 342301120313031