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21348096201 = 3237594912213
BaseRepresentation
bin10011111000011100…
…100001100011001001
32001002210012122120200
4103320130201203021
5322210103034301
613450203442413
71354011552345
oct237034414311
961083178520
1021348096201
119065497713
124179526409
132022a825b3
141067366625
1584e2abc86
hex4f87218c9

21348096201 has 48 divisors (see below), whose sum is σ = 32286496320. Its totient is φ = 13578848640.

The previous prime is 21348096199. The next prime is 21348096283. The reversal of 21348096201 is 10269084312.

21348096201 is a `hidden beast` number, since 21 + 3 + 4 + 8 + 0 + 9 + 620 + 1 = 666.

It is not a de Polignac number, because 21348096201 - 21 = 21348096199 is a prime.

It is a super-2 number, since 2×213480962012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21348096101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9645571 + ... + 9647783.

It is an arithmetic number, because the mean of its divisors is an integer number (672635340).

Almost surely, 221348096201 is an apocalyptic number.

It is an amenable number.

21348096201 is a deficient number, since it is larger than the sum of its proper divisors (10938400119).

21348096201 is a wasteful number, since it uses less digits than its factorization.

21348096201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21348096201 in words is "twenty-one billion, three hundred forty-eight million, ninety-six thousand, two hundred one".

Divisors: 1 3 9 37 59 111 177 333 491 531 1473 2183 2213 4419 6549 6639 18167 19647 19917 28969 54501 81881 86907 130567 163503 245643 260721 391701 736929 1071853 1086583 1175103 3215559 3259749 4830979 9646677 9779247 14492937 40203571 43478811 64108397 120610713 192325191 361832139 576975573 2372010689 7116032067 21348096201