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42155015100 = 223521141311567
BaseRepresentation
bin100111010000101000…
…100111101110111100
311000210212002122110120
4213100220213232330
51142313140440400
631211000134540
73021432500442
oct472050475674
9130725078416
1042155015100
1116972452860
128205767450
133c8a693423
14207c898b92
15116acb9ca0
hex9d0a27bbc

42155015100 has 144 divisors (see below), whose sum is σ = 136302276096. Its totient is φ = 9970112000.

The previous prime is 42155015099. The next prime is 42155015137. The reversal of 42155015100 is 151055124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20484 + ... + 291083.

It is an arithmetic number, because the mean of its divisors is an integer number (946543584).

Almost surely, 242155015100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68151138048).

42155015100 is an abundant number, since it is smaller than the sum of its proper divisors (94147260996).

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

42155015100 is a wasteful number, since it uses less digits than its factorization.

42155015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311636 (or 311629 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 42155015100 in words is "forty-two billion, one hundred fifty-five million, fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 311567 623134 934701 1246268 1557835 1869402 3115670 3427237 3738804 4673505 6231340 6854474 7789175 9347010 10281711 12774247 13708948 15578350 17136185 18694020 20563422 23367525 25548494 31156700 34272370 38322741 41126844 46735050 51096988 51408555 63871235 68544740 76645482 85680925 93470100 102817110 127742470 140516717 153290964 171361850 191613705 205634220 255484940 257042775 281033434 319356175 342723700 383227410 421550151 514085550 562066868 638712350 702583585 766454820 843100302 958068525 1028171100 1277424700 1405167170 1686200604 1916137050 2107750755 2810334340 3512917925 3832274100 4215501510 7025835850 8431003020 10538753775 14051671700 21077507550 42155015100