Search a number
-
+
21321314340 = 22351073321077
BaseRepresentation
bin10011110110110110…
…010111000000100100
32001000220210222202220
4103312312113000210
5322131224024330
613443405432340
71353235116204
oct236666270044
961026728686
1021321314340
119051365047
12417056b6b0
13201a366341
141063994404
1584bc6b710
hex4f6d97024

21321314340 has 48 divisors (see below), whose sum is σ = 60257639232. Its totient is φ = 5632544896.

The previous prime is 21321314321. The next prime is 21321314351. The reversal of 21321314340 is 4341312312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21321314340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654119 + ... + 1666958.

It is an arithmetic number, because the mean of its divisors is an integer number (1255367484).

Almost surely, 221321314340 is an apocalyptic number.

21321314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321314340 is an abundant number, since it is smaller than the sum of its proper divisors (38936324892).

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

21321314340 is a wasteful number, since it uses less digits than its factorization.

21321314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321196 (or 3321194 counting only the distinct ones).

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

Adding to 21321314340 its reverse (4341312312), we get a palindrome (25662626652).

The spelling of 21321314340 in words is "twenty-one billion, three hundred twenty-one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 3321077 6642154 9963231 13284308 16605385 19926462 33210770 39852924 49816155 66421540 99632310 199264620 355355239 710710478 1066065717 1421420956 1776776195 2132131434 3553552390 4264262868 5330328585 7107104780 10660657170 21321314340