Search a number
-
+
21323122122132 = 22327174441112067
BaseRepresentation
bin1001101100100101011010…
…00111101001110110010100
32210111110201001011110112200
410312102231013221312110
510243324223230402012
6113203412421044500
74330354562343135
oct466225507516624
983443631143480
1021323122122132
1168810a35aa876
122484692556730
13bb89b985813c
1453a08a603c8c
1526e9e3b903dc
hex1364ad1e9d94

21323122122132 has 72 divisors (see below), whose sum is σ = 54660492798912. Its totient is φ = 7007442153600.

The previous prime is 21323122122103. The next prime is 21323122122157. The reversal of 21323122122132 is 23122122132312.

21323122122132 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 312 + 212 + 2 + 132 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21323122122096 and 21323122122105.

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 23 ways as a sum of consecutive naturals, for example, 190215163 + ... + 190327229.

It is an arithmetic number, because the mean of its divisors is an integer number (759173511096).

Almost surely, 221323122122132 is an apocalyptic number.

It is an amenable number.

21323122122132 is an abundant number, since it is smaller than the sum of its proper divisors (33337370676780).

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

21323122122132 is a wasteful number, since it uses less digits than its factorization.

21323122122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186589 (or 186584 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21323122122132 its reverse (23122122132312), we get a palindrome (44445244254444).

The spelling of 21323122122132 in words is "twenty-one trillion, three hundred twenty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 74441 112067 148882 223323 224134 297764 336201 446646 448268 669969 672402 893292 1008603 1339938 1344804 2017206 2679876 4034412 5285311 7956757 10570622 15855933 15913514 21141244 23870271 31711866 31827028 47567799 47740542 63423732 71610813 95135598 95481084 143221626 190271196 286443252 8342379547 16684759094 25027138641 33369518188 50054277282 75081415923 100108554564 150162831846 300325663692 592308947837 1184617895674 1776926843511 2369235791348 3553853687022 5330780530533 7107707374044 10661561061066 21323122122132