Search a number
-
+
21333000104 = 23137915671657
BaseRepresentation
bin10011110111100010…
…111011111110101000
32001001201210200121222
4103313202323332220
5322142222000404
613444504121212
71353436336403
oct236742737650
961051720558
1021333000104
119057a167a9
124174466208
13201c8c82b0
141065356d3a
1584ccc8dbe
hex4f78bbfa8

21333000104 has 64 divisors (see below), whose sum is σ = 43675699200. Its totient is φ = 9709300224.

The previous prime is 21333000011. The next prime is 21333000109. The reversal of 21333000104 is 40100033312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21333000109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12873644 + ... + 12875300.

It is an arithmetic number, because the mean of its divisors is an integer number (682432800).

Almost surely, 221333000104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21333000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21837849600).

21333000104 is an abundant number, since it is smaller than the sum of its proper divisors (22342699096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21333000104 is a wasteful number, since it uses less digits than its factorization.

21333000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21333000104 its reverse (40100033312), we get a palindrome (61433033416).

The spelling of 21333000104 in words is "twenty-one billion, three hundred thirty-three million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 1567 1657 2054 3134 3314 4108 6268 6628 8216 12536 13256 20371 21541 40742 43082 81484 86164 123793 130903 162968 172328 247586 261806 495172 523612 990344 1047224 1609309 1701739 2596519 3218618 3403478 5193038 6437236 6806956 10386076 12874472 13613912 20772152 33754747 67509494 135018988 205125001 270037976 410250002 820500004 1641000008 2666625013 5333250026 10666500052 21333000104