Search a number
-
+
21364601121 = 332692941567
BaseRepresentation
bin10011111001011011…
…011111000100100001
32001010221021012002000
4103321123133010201
5322223314213441
613451553314213
71354302053553
oct237133370441
961127235060
1021364601121
119073840046
124182b65969
132026310c16
1410696214d3
1585096c2b6
hex4f96df121

21364601121 has 16 divisors (see below), whose sum is σ = 31768934400. Its totient is φ = 14190114384.

The previous prime is 21364601119. The next prime is 21364601149. The reversal of 21364601121 is 12110646312.

It is a happy number.

21364601121 is a `hidden beast` number, since 2 + 1 + 3 + 646 + 0 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 21364601121 - 21 = 21364601119 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 (21364601221) 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 15 ways as a sum of consecutive naturals, for example, 1463521 + ... + 1478046.

It is an arithmetic number, because the mean of its divisors is an integer number (1985558400).

Almost surely, 221364601121 is an apocalyptic number.

It is an amenable number.

21364601121 is a deficient number, since it is larger than the sum of its proper divisors (10404333279).

21364601121 is a wasteful number, since it uses less digits than its factorization.

21364601121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941845 (or 2941839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21364601121 in words is "twenty-one billion, three hundred sixty-four million, six hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 269 807 2421 7263 2941567 8824701 26474103 79422309 791281523 2373844569 7121533707 21364601121