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242120232130122 = 2321392811154929819
BaseRepresentation
bin110111000011010100000010…
…011011011101011001001010
31011202021110122021100222000100
4313003110002123131121022
5223213344213411130442
62214540255450350230
7101666416030206123
oct6703240233353112
91152243567328010
10242120232130122
1170168682a810a5
12231a4633a2b376
13a513abc3cba68
1443b0978a7d04a
151ced1822e384c
hexdc35026dd64a

242120232130122 has 96 divisors (see below), whose sum is σ = 530311902120000. Its totient is φ = 79831383125760.

The previous prime is 242120232130121. The next prime is 242120232130163. The reversal of 242120232130122 is 221031232021242.

242120232130122 is a `hidden beast` number, since 2 + 4 + 2 + 12 + 0 + 2 + 321 + 301 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (242120232130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8119648129 + ... + 8119677947.

It is an arithmetic number, because the mean of its divisors is an integer number (5524082313750).

Almost surely, 2242120232130122 is an apocalyptic number.

242120232130122 is an abundant number, since it is smaller than the sum of its proper divisors (288191669989878).

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

242120232130122 is a wasteful number, since it uses less digits than its factorization.

242120232130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41796 (or 41793 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242120232130122 its reverse (221031232021242), we get a palindrome (463151464151364).

The spelling of 242120232130122 in words is "two hundred forty-two trillion, one hundred twenty billion, two hundred thirty-two million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 139 278 281 417 562 834 843 1251 1686 2502 2529 5058 11549 23098 29819 34647 39059 59638 69294 78118 89457 103941 117177 178914 207882 234354 268371 351531 536742 703062 1605311 3210622 3245269 4144841 4815933 6490538 8289682 8379139 9631866 9735807 12434523 14447799 16758278 19471614 24869046 25137417 28895598 29207421 37303569 50274834 58414842 74607138 75412251 150824502 344379631 451092391 688759262 902184782 1033138893 1164700321 1353277173 2066277786 2329400642 2706554346 3099416679 3494100963 4059831519 6198833358 6988201926 8119663038 10482302889 20964605778 47868768709 95737537418 96770676311 143606306127 193541352622 287212612254 290312028933 430818918381 580624057866 861637836762 870936086799 1741872173598 13451124007229 26902248014458 40353372021687 80706744043374 121060116065061 242120232130122