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102414343234230 = 235583507780967
BaseRepresentation
bin10111010010010100110010…
…100011000110001010110110
3111102121201022200001112200000
4113102110302203012022312
5101410424033331443410
61001452255541132130
730400122620054616
oct2722246243061266
9442551280045600
10102414343234230
112a6a5751901545
12b5a07043ba046
13451b828781ca1
141b40c48766a46
15bc90734c7dc0
hex5d25328c62b6

102414343234230 has 96 divisors (see below), whose sum is σ = 279466395796224. Its totient is φ = 26981449409376.

The previous prime is 102414343234223. The next prime is 102414343234253. The reversal of 102414343234230 is 32432343414201.

102414343234230 is a `hidden beast` number, since 1 + 0 + 2 + 414 + 3 + 4 + 3 + 2 + 3 + 4 + 230 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253688794 + ... + 254092173.

It is an arithmetic number, because the mean of its divisors is an integer number (2911108289544).

Almost surely, 2102414343234230 is an apocalyptic number.

102414343234230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102414343234230 is an abundant number, since it is smaller than the sum of its proper divisors (177052052561994).

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

102414343234230 is an equidigital number, since it uses as much as digits as its factorization.

102414343234230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507781072 (or 507781060 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 102414343234230 its reverse (32432343414201), we get a palindrome (134846686648431).

The spelling of 102414343234230 in words is "one hundred two trillion, four hundred fourteen billion, three hundred forty-three million, two hundred thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 243 249 270 405 415 486 498 747 810 830 1215 1245 1494 2241 2430 2490 3735 4482 6723 7470 11205 13446 20169 22410 33615 40338 67230 100845 201690 507780967 1015561934 1523342901 2538904835 3046685802 4570028703 5077809670 7616714505 9140057406 13710086109 15233429010 22850143515 27420172218 41130258327 42145820261 45700287030 68550430545 82260516654 84291640522 123390774981 126437460783 137100861090 205651291635 210729101305 246781549962 252874921566 379312382349 411302583270 421458202610 616953874905 632187303915 758624764698 1137937147047 1233907749810 1264374607830 1896561911745 2275874294094 3413811441141 3793123823490 5689685735235 6827622882282 10241434323423 11379371470470 17069057205705 20482868646846 34138114411410 51207171617115 102414343234230