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232056042115700 = 2252111289663724659
BaseRepresentation
bin110100110000110111000001…
…111101010101001001110100
31010102122100012120022010012102
4310300313001331111021310
5220404001233240200300
62141313023554441232
766610332023442365
oct6460670175251164
91112570176263172
10232056042115700
1167a384620a4190
122203a022b93218
139c63a387257aa
144143802803b6c
151bc649bd920d5
hexd30dc1f55274

232056042115700 has 144 divisors (see below), whose sum is σ = 549871246612800. Its totient is φ = 84302427417600.

The previous prime is 232056042115679. The next prime is 232056042115747. The reversal of 232056042115700 is 7511240650232.

232056042115700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9410589971 + ... + 9410614629.

It is an arithmetic number, because the mean of its divisors is an integer number (3818550323700).

Almost surely, 2232056042115700 is an apocalyptic number.

232056042115700 is a gapful number since it is divisible by the number (20) 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 232056042115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274935623306400).

232056042115700 is an abundant number, since it is smaller than the sum of its proper divisors (317815204497100).

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

232056042115700 is a wasteful number, since it uses less digits than its factorization.

232056042115700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32610 (or 32603 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

Adding to 232056042115700 its reverse (7511240650232), we get a palindrome (239567282765932).

The spelling of 232056042115700 in words is "two hundred thirty-two trillion, fifty-six billion, forty-two million, one hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1289 2578 5156 6445 6637 12890 13274 14179 24659 25780 26548 28358 32225 33185 49318 56716 64450 66370 70895 73007 98636 123295 128900 132740 141790 146014 165925 246590 271249 283580 292028 331850 354475 365035 493180 542498 616475 663700 708950 730070 1084996 1232950 1356245 1417900 1460140 1825175 2465900 2712490 3650350 5424980 6781225 7300700 8555093 13562450 17110186 27124900 31785451 34220372 42775465 63570902 85550930 94106023 127141804 158927255 163661783 171101860 188212046 213877325 317854510 327323566 349639961 376424092 427754650 470530115 635709020 654647132 699279922 794636275 818308915 855509300 941060230 1398559844 1589272550 1636617830 1748199805 1800279613 1882120460 2352650575 3178545100 3273235660 3496399610 3600559226 4091544575 4705301150 6992799220 7201118452 8183089150 8740999025 9001398065 9410602300 16366178300 17481998050 18002796130 34963996100 36005592260 45006990325 90013980650 180027961300 210960038287 421920076574 843840153148 1054800191435 2109600382870 2320560421157 4219200765740 4641120842314 5274000957175 9282241684628 10548001914350 11602802105785 21096003828700 23205604211570 46411208423140 58014010528925 116028021057850 232056042115700