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232002000120 = 233511175759091
BaseRepresentation
bin1101100000010001100…
…1011001010011111000
3211011211121200201202010
43120010121121103320
512300120003000440
6254325200005520
722522140314622
oct3300431312370
9734747621663
10232002000120
118a434098590
1238b690008a0
1318b543abb17
14b32c385c12
15607cc08580
hex36046594f8

232002000120 has 64 divisors (see below), whose sum is σ = 759279277440. Its totient is φ = 56242908800.

The previous prime is 232002000079. The next prime is 232002000133. The reversal of 232002000120 is 21000200232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232002000096 and 232002000105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 87878226 + ... + 87880865.

It is an arithmetic number, because the mean of its divisors is an integer number (11863738710).

Almost surely, 2232002000120 is an apocalyptic number.

232002000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232002000120 is an abundant number, since it is smaller than the sum of its proper divisors (527277277320).

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

232002000120 is a wasteful number, since it uses less digits than its factorization.

232002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175759116 (or 175759112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 232002000120 its reverse (21000200232), we get a palindrome (253002200352).

The spelling of 232002000120 in words is "two hundred thirty-two billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 175759091 351518182 527277273 703036364 878795455 1054554546 1406072728 1757590910 1933350001 2109109092 2636386365 3515181820 3866700002 4218218184 5272772730 5800050003 7030363640 7733400004 9666750005 10545545460 11600100006 15466800008 19333500010 21091090920 23200200012 29000250015 38667000020 46400400024 58000500030 77334000040 116001000060 232002000120