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342024120130131 = 324110137924214181
BaseRepresentation
bin100110111000100011011001…
…0001011110101101001010011
31122212000012001000000000101200
41031301012302023311221103
5324312210344223131011
63211231413415402243
7132020266353005025
oct11561066213655123
91585005030000350
10342024120130131
1199a8568429911a
123243a695983383
13118ac9753a119a
1460660acd4c015
152981c73d78856
hex13711b22f5a53

342024120130131 has 48 divisors (see below), whose sum is σ = 512443765098720. Its totient is φ = 219671040960000.

The previous prime is 342024120130081. The next prime is 342024120130157. The reversal of 342024120130131 is 131031021420243.

342024120130131 is a `hidden beast` number, since 3 + 4 + 202 + 4 + 120 + 1 + 301 + 31 = 666.

It is not a de Polignac number, because 342024120130131 - 211 = 342024120128083 is a prime.

It is a super-2 number, since 2×3420241201301312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342024120130095 and 342024120130104.

It is not an unprimeable number, because it can be changed into a prime (342024120132131) 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, 2017861 + ... + 26232041.

It is an arithmetic number, because the mean of its divisors is an integer number (10675911772890).

Almost surely, 2342024120130131 is an apocalyptic number.

342024120130131 is a deficient number, since it is larger than the sum of its proper divisors (170419644968589).

342024120130131 is a wasteful number, since it uses less digits than its factorization.

342024120130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24214708 (or 24214705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 342024120130131 its reverse (131031021420243), we get a palindrome (473055141550374).

The spelling of 342024120130131 in words is "three hundred forty-two trillion, twenty-four billion, one hundred twenty million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 41 101 123 303 369 379 909 1137 3411 4141 12423 15539 37269 38279 46617 114837 139851 344511 1569439 4708317 14124951 24214181 72642543 217927629 992781421 2445632281 2978344263 7336896843 8935032789 9177174599 22010690529 27531523797 82594571391 100270923521 300812770563 376264158559 902438311689 926894634499 1128792475677 2780683903497 3386377427031 8342051710491 38002680014459 114008040043377 342024120130131