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42130302033200 = 2452839949127549
BaseRepresentation
bin10011001010001001110011…
…01011111101110100110000
312112011121200012000222120012
421211010321223331310300
521010230324310030300
6225334221002034052
711605546105414313
oct1145047153756460
9175147605028505
1042130302033200
11124733a7187aa7
124885174aa8928
131a67b41463a14
14a591905b697a
154d0d8c31e435
hex265139afdd30

42130302033200 has 120 divisors (see below), whose sum is σ = 102448644690000. Its totient is φ = 16647279252480.

The previous prime is 42130302033163. The next prime is 42130302033223. The reversal of 42130302033200 is 233020303124.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330243026 + ... + 330370574.

It is an arithmetic number, because the mean of its divisors is an integer number (853738705750).

Almost surely, 242130302033200 is an apocalyptic number.

42130302033200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130302033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224322345000).

42130302033200 is an abundant number, since it is smaller than the sum of its proper divisors (60318342656800).

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

42130302033200 is a wasteful number, since it uses less digits than its factorization.

42130302033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137599 (or 137588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 42130302033200 its reverse (233020303124), we get a palindrome (42363322336324).

The spelling of 42130302033200 in words is "forty-two trillion, one hundred thirty billion, three hundred two million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4150 6640 8300 9949 16600 19898 33200 39796 49745 79592 99490 127549 159184 198980 248725 255098 397960 497450 510196 637745 795920 825767 994900 1020392 1275490 1651534 1989800 2040784 2550980 3188725 3303068 3979600 4128835 5101960 6377450 6606136 8257670 10203920 10586567 12754900 13212272 16515340 20644175 21173134 25509800 33030680 41288350 42346268 51019600 52932835 66061360 82576700 84692536 105865670 165153400 169385072 211731340 264664175 330306800 423462680 529328350 846925360 1058656700 1268985001 2117313400 2537970002 4234626800 5075940004 6344925005 10151880008 12689850010 20303760016 25379700020 31724625025 50759400040 63449250050 101518800080 105325755083 126898500100 210651510166 253797000200 421303020332 507594000400 526628775415 842606040664 1053257550830 1685212081328 2106515101660 2633143877075 4213030203320 5266287754150 8426060406640 10532575508300 21065151016600 42130302033200