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21354100605 = 3351731300149
BaseRepresentation
bin10011111000110011…
…011011011101111101
32001010012111201002000
4103320303123131331
5322213122204410
613450540252513
71354113601035
oct237063333575
961105451060
1021354100605
119068918932
12417b541139
1320240a55b6
14106808a8c5
1584ea95dc0
hex4f8cdb77d

21354100605 has 64 divisors (see below), whose sum is σ = 41492736000. Its totient is φ = 10373114880.

The previous prime is 21354100583. The next prime is 21354100681. The reversal of 21354100605 is 50600145312.

21354100605 is a `hidden beast` number, since 2 + 1 + 3 + 54 + 1 + 0 + 0 + 605 = 666.

It is not a de Polignac number, because 21354100605 - 212 = 21354096509 is a prime.

It is a super-2 number, since 2×213541006052 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78930 + ... + 221219.

It is an arithmetic number, because the mean of its divisors is an integer number (648324000).

Almost surely, 221354100605 is an apocalyptic number.

It is an amenable number.

21354100605 is a deficient number, since it is larger than the sum of its proper divisors (20138635395).

21354100605 is a wasteful number, since it uses less digits than its factorization.

21354100605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300211 (or 300205 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 21354100605 its reverse (50600145312), we get a palindrome (71954245917).

The spelling of 21354100605 in words is "twenty-one billion, three hundred fifty-four million, one hundred thousand, six hundred five".

Divisors: 1 3 5 9 15 17 27 31 45 51 85 93 135 153 155 255 279 459 465 527 765 837 1395 1581 2295 2635 4185 4743 7905 14229 23715 71145 300149 900447 1500745 2701341 4502235 5102533 8104023 9304619 13506705 15307599 25512665 27913857 40520115 45922797 46523095 76537995 83741571 137768391 139569285 158178523 229613985 251224713 418707855 474535569 688841955 790892615 1256123565 1423606707 2372677845 4270820121 7118033535 21354100605