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200012340414321 = 324712719718899333
BaseRepresentation
bin101101011110100100000000…
…100000000100011101110001
3222020011222210220022001120200
4231132210000200010131301
5202204000233121224241
61545220222315225413
760062262152153031
oct5536440040043561
9866158726261520
10200012340414321
1158803836942276
121a523894148269
13877b10cb017a6
1437569129358c1
15181cba76534b6
hexb5e900804771

200012340414321 has 48 divisors (see below), whose sum is σ = 298886465839104. Its totient is φ = 128819661247872.

The previous prime is 200012340414247. The next prime is 200012340414409. The reversal of 200012340414321 is 123414043210002.

200012340414321 is a `hidden beast` number, since 200 + 0 + 1 + 2 + 3 + 40 + 414 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 200012340414321 - 213 = 200012340406129 is a prime.

It is a super-2 number, since 2×2000123404143212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200012320414321) by changing a digit.

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, 1133371 + ... + 20032703.

It is an arithmetic number, because the mean of its divisors is an integer number (6226801371648).

Almost surely, 2200012340414321 is an apocalyptic number.

It is an amenable number.

200012340414321 is a deficient number, since it is larger than the sum of its proper divisors (98874125424783).

200012340414321 is a wasteful number, since it uses less digits than its factorization.

200012340414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899710 (or 18899707 counting only the distinct ones).

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

Adding to 200012340414321 its reverse (123414043210002), we get a palindrome (323426383624323).

The spelling of 200012340414321 in words is "two hundred trillion, twelve billion, three hundred forty million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 47 127 141 197 381 423 591 1143 1773 5969 9259 17907 25019 27777 53721 75057 83331 225171 1175893 3527679 10583037 18899333 56697999 170093997 888268651 2400215291 2664805953 3723168601 7200645873 7994417859 11169505803 21601937619 33508517409 112810118677 174988924247 338430356031 472842412327 524966772741 1015291068093 1418527236981 1574900318223 4255581710943 22223593379369 66670780138107 200012340414321