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8135102820 = 22351317613507
BaseRepresentation
bin1111001001110001…
…11101000101100100
3202222221122001010110
413210320331011210
5113130041242240
63423123253020
7405411142635
oct74470750544
922887561113
108135102820
1134a5065179
1216b051a170
139c8527410
145725d588c
153292d5c80
hex1e4e3d164

8135102820 has 96 divisors (see below), whose sum is σ = 25973474688. Its totient is φ = 1884690432.

The previous prime is 8135102813. The next prime is 8135102869. The reversal of 8135102820 is 282015318.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293494 + ... + 320013.

It is an arithmetic number, because the mean of its divisors is an integer number (270557028).

Almost surely, 28135102820 is an apocalyptic number.

It is an amenable number.

8135102820 is an abundant number, since it is smaller than the sum of its proper divisors (17838371868).

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

8135102820 is a wasteful number, since it uses less digits than its factorization.

8135102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613549 (or 613547 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8135102820 is about 90194.8048393032. The cubic root of 8135102820 is about 2011.1957786584.

The spelling of 8135102820 in words is "eight billion, one hundred thirty-five million, one hundred two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 613507 1227014 1840521 2454028 3067535 3681042 6135070 7362084 7975591 9202605 10429619 12270140 15951182 18405210 20859238 23926773 31288857 31902364 36810420 39877955 41718476 47853546 52148095 62577714 79755910 95707092 104296190 119633865 125155428 135585047 156444285 159511820 208592380 239267730 271170094 312888570 406755141 478535460 542340188 625777140 677925235 813510282 1355850470 1627020564 2033775705 2711700940 4067551410 8135102820