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242103104024340 = 2235131916336241837
BaseRepresentation
bin110111000011000100000101…
…100000111010111100010100
31011202012211102120211001000010
4313003010011200322330110
5223213104124112234330
62214524344111520220
7101665241416543506
oct6703040540727424
91152184376731003
10242103104024340
1170161393674779
12231a1253829070
13a5122bca04120
1443adbd1d73d76
151cec9cd7643b0
hexdc310583af14

242103104024340 has 96 divisors (see below), whose sum is σ = 768456816059520. Its totient is φ = 56458051785216.

The previous prime is 242103104024333. The next prime is 242103104024429. The reversal of 242103104024340 is 43420401301242.

It is a super-2 number, since 2×2421031040243402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242103104024298 and 242103104024307.

It is a congruent number.

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, 8168106099 + ... + 8168135738.

It is an arithmetic number, because the mean of its divisors is an integer number (8004758500620).

Almost surely, 2242103104024340 is an apocalyptic number.

242103104024340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242103104024340 is an abundant number, since it is smaller than the sum of its proper divisors (526353712035180).

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

242103104024340 is a wasteful number, since it uses less digits than its factorization.

242103104024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16336241881 (or 16336241879 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242103104024340 its reverse (43420401301242), we get a palindrome (285523505325582).

The spelling of 242103104024340 in words is "two hundred forty-two trillion, one hundred three billion, one hundred four million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 16336241837 32672483674 49008725511 65344967348 81681209185 98017451022 163362418370 196034902044 212371143881 245043627555 310388594903 326724836740 424742287762 490087255110 620777189806 637113431643 849484575524 931165784709 980174510220 1061855719405 1241554379612 1274226863286 1551942974515 1862331569418 2123711438810 2548453726572 3103885949030 3185567158215 3724663138836 4035051733739 4247422877620 4655828923545 6207771898060 6371134316430 8070103467478 9311657847090 12105155201217 12742268632860 16140206934956 18623315694180 20175258668695 24210310402434 40350517337390 48420620804868 60525776006085 80701034674780 121051552012170 242103104024340