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242103104023320 = 233251993379440313
BaseRepresentation
bin110111000011000100000101…
…100000111010101100011000
31011202012211102120210222121100
4313003010011200322230120
5223213104124112221240
62214524344111511400
7101665241416540521
oct6703040540725430
91152184376728540
10242103104023320
1170161393673a31
12231a1253828560
13a5122bca03817
1443adbd1d73848
151cec9cd763e30
hexdc310583ab18

242103104023320 has 96 divisors (see below), whose sum is σ = 790789033476000. Its totient is φ = 64236401450496.

The previous prime is 242103104023303. The next prime is 242103104023351. The reversal of 242103104023320 is 23320401301242.

242103104023320 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 0 + 310 + 4 + 0 + 23 + 320 = 666.

It is a super-2 number, since 2×2421031040233202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689648517 + ... + 1689791796.

It is an arithmetic number, because the mean of its divisors is an integer number (8237385765375).

Almost surely, 2242103104023320 is an apocalyptic number.

242103104023320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242103104023320 is an abundant number, since it is smaller than the sum of its proper divisors (548685929452680).

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

242103104023320 is a wasteful number, since it uses less digits than its factorization.

242103104023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379440529 (or 3379440522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242103104023320 its reverse (23320401301242), we get a palindrome (265423505324562).

The spelling of 242103104023320 in words is "two hundred forty-two trillion, one hundred three billion, one hundred four million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3980 4776 5970 7164 7960 8955 11940 14328 17910 23880 35820 71640 3379440313 6758880626 10138320939 13517761252 16897201565 20276641878 27035522504 30414962817 33794403130 40553283756 50691604695 60829925634 67588806260 81106567512 101383209390 121659851268 135177612520 152074814085 202766418780 243319702536 304149628170 405532837560 608299256340 672508622287 1216598512680 1345017244574 2017525866861 2690034489148 3362543111435 4035051733722 5380068978296 6052577600583 6725086222870 8070103467444 10087629334305 12105155201166 13450172445740 16140206934888 20175258668610 24210310402332 26900344891480 30262888002915 40350517337220 48420620804664 60525776005830 80701034674440 121051552011660 242103104023320