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242321323421130 = 235192347754724001
BaseRepresentation
bin110111000110001111010100…
…011001110110110111001010
31011202222200200200002222100020
4313012033110121312313022
5223230143032243434010
62215212513522521310
7102020065202034432
oct6706172431666712
91152880620088306
10242321323421130
1170235994849398
12232175b4b06236
13a529a5883c855
1443ba5b3a732c2
151d0350147d470
hexdc63d4676dca

242321323421130 has 128 divisors (see below), whose sum is σ = 612547691627520. Its totient is φ = 61181277696000.

The previous prime is 242321323421059. The next prime is 242321323421131. The reversal of 242321323421130 is 31124323123242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242321323421091 and 242321323421100.

It is not an unprimeable number, because it can be changed into a prime (242321323421131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10096289130 + ... + 10096313130.

It is an arithmetic number, because the mean of its divisors is an integer number (4785528840840).

Almost surely, 2242321323421130 is an apocalyptic number.

242321323421130 is an abundant number, since it is smaller than the sum of its proper divisors (370226368206390).

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

242321323421130 is a wasteful number, since it uses less digits than its factorization.

242321323421130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33924.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 242321323421130 its reverse (31124323123242), we get a palindrome (273445646544372).

The spelling of 242321323421130 in words is "two hundred forty-two trillion, three hundred twenty-one billion, three hundred twenty-three million, four hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 2347 4694 7041 7547 11735 14082 15094 22641 23470 24001 35205 37735 44593 45282 48002 70410 72003 75470 89186 113205 120005 133779 143393 144006 222965 226410 240010 267558 286786 360015 430179 445930 456019 668895 716965 720030 860358 912038 1337790 1368057 1433930 2150895 2280095 2736114 4301790 4560190 6840285 13680570 17712809 35425618 53138427 56330347 88564045 106276854 112660694 168991041 177128090 181135547 265692135 281651735 336543371 337982082 362271094 531384270 543406641 563303470 673086742 844955205 905677735 1009630113 1070276593 1086813282 1682716855 1689910410 1811355470 2019260226 2140553186 2717033205 3210829779 3365433710 3441575393 5048150565 5351382965 5434066410 6421659558 6883150786 10096301130 10324726179 10702765930 16054148895 17207876965 20649452358 32108297790 34415753930 51623630895 103247261790 425125128809 850250257618 1275375386427 2125625644045 2550750772854 4251251288090 6376876932135 8077377447371 12753753864270 16154754894742 24232132342113 40386887236855 48464264684226 80773774473710 121160661710565 242321323421130