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200234314010412 = 2232111729743659241
BaseRepresentation
bin101101100001110010101111…
…001010001000111100101100
3222020222012202121210002012100
4231201302233022020330230
5202221114333341313122
61545510212435535100
760114310651455303
oct5541625712107454
9866865677702170
10200234314010412
1158889994185440
121a55a90275a490
138796026659716
14376356d08343a
151823849c3caac
hexb61caf288f2c

200234314010412 has 72 divisors (see below), whose sum is σ = 584641366060752. Its totient is φ = 57107825740800.

The previous prime is 200234314010407. The next prime is 200234314010417. The reversal of 200234314010412 is 214010413432002.

200234314010412 is a `hidden beast` number, since 2 + 0 + 0 + 234 + 3 + 1 + 4 + 0 + 10 + 412 = 666.

200234314010412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200234314010407) and next prime (200234314010417).

It is not an unprimeable number, because it can be changed into a prime (200234314010417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14871822889 + ... + 14871836352.

It is an arithmetic number, because the mean of its divisors is an integer number (8120018973066).

Almost surely, 2200234314010412 is an apocalyptic number.

200234314010412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200234314010412 is an abundant number, since it is smaller than the sum of its proper divisors (384407052050340).

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

200234314010412 is a wasteful number, since it uses less digits than its factorization.

200234314010412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29743659279 (or 29743659274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 200234314010412 its reverse (214010413432002), we get a palindrome (414244727442414).

The spelling of 200234314010412 in words is "two hundred trillion, two hundred thirty-four billion, three hundred fourteen million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 29743659241 59487318482 89230977723 118974636964 178461955446 267692933169 327180251651 356923910892 505642207097 535385866338 654360503302 981540754953 1011284414194 1070771732676 1308721006604 1516926621291 1963081509906 2022568828388 2944622264859 3033853242582 3926163019812 4550779863873 5562064278067 5889244529718 6067706485164 9101559727746 11124128556134 11778489059436 16686192834201 18203119455492 22248257112268 33372385668402 50058578502603 66744771336804 100117157005206 200234314010412