Search a number
-
+
21333214122 = 23115333718097
BaseRepresentation
bin10011110111100011…
…110000001110101010
32001001202012120012120
4103313203300032222
5322142300322442
613444512452110
71353441220353
oct236743601652
961052176176
1021333214122
119058052580
12417454a036
13201c97182c
1410653b0d2a
1584cd1c4ec
hex4f78f03aa

21333214122 has 64 divisors (see below), whose sum is σ = 47566756224. Its totient is φ = 6323466240.

The previous prime is 21333214109. The next prime is 21333214129. The reversal of 21333214122 is 22141233312.

It is a junction number, because it is equal to n+sod(n) for n = 21333214092 and 21333214101.

It is not an unprimeable number, because it can be changed into a prime (21333214129) 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 31 ways as a sum of consecutive naturals, for example, 1169778 + ... + 1187874.

It is an arithmetic number, because the mean of its divisors is an integer number (743230566).

Almost surely, 221333214122 is an apocalyptic number.

21333214122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21333214122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783378112).

21333214122 is an abundant number, since it is smaller than the sum of its proper divisors (26233542102).

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

21333214122 is a wasteful number, since it uses less digits than its factorization.

21333214122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503.

The product of its digits is 1728, while the sum is 24.

Adding to 21333214122 its reverse (22141233312), we get a palindrome (43474447434).

The spelling of 21333214122 in words is "twenty-one billion, three hundred thirty-three million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 337 583 674 1011 1166 1749 2022 3498 3707 7414 11121 17861 18097 22242 35722 36194 53583 54291 107166 108582 196471 199067 392942 398134 589413 597201 959141 1178826 1194402 1918282 2877423 5754846 6098689 10550551 12197378 18296067 21101102 31651653 36592134 63303306 67085579 134171158 201256737 323230517 402513474 646461034 969691551 1939383102 3555535687 7111071374 10666607061 21333214122