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21346053201 = 3411131199919
BaseRepresentation
bin10011111000010100…
…101110110001010001
32001002122100212010000
4103320110232301101
5322204042200301
613450052000213
71353655313154
oct237024566121
961078325100
1021346053201
119064321790
124178900069
132022518715
141066d93c9b
1584e006786
hex4f852ec51

21346053201 has 80 divisors (see below), whose sum is σ = 35266176000. Its totient is φ = 12759832800.

The previous prime is 21346053167. The next prime is 21346053221. The reversal of 21346053201 is 10235064312.

21346053201 is a `hidden beast` number, since 2 + 1 + 34 + 605 + 3 + 20 + 1 = 666.

It is not a de Polignac number, because 21346053201 - 26 = 21346053137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21346053221) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 23227020 + ... + 23227938.

It is an arithmetic number, because the mean of its divisors is an integer number (440827200).

Almost surely, 221346053201 is an apocalyptic number.

It is an amenable number.

21346053201 is a deficient number, since it is larger than the sum of its proper divisors (13920122799).

21346053201 is a wasteful number, since it uses less digits than its factorization.

21346053201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21346053201 in words is "twenty-one billion, three hundred forty-six million, fifty-three thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 131 199 297 393 597 891 919 1179 1441 1791 2189 2757 3537 4323 5373 6567 8271 10109 10611 12969 16119 19701 24813 26069 30327 38907 59103 74439 78207 90981 116721 120389 177309 182881 234621 272943 286759 361167 548643 703863 818829 860277 1083501 1324279 1645929 2011691 2111589 2580831 3250503 3972837 4937787 6035073 7742493 9751509 11918511 14813361 18105219 23227479 23957411 35755533 54315657 71872233 107266599 162946971 215616699 263531521 646850097 790594563 1940550291 2371783689 7115351067 21346053201