Search a number
-
+
21022232232340 = 2251761830094801
BaseRepresentation
bin1001100011110100111101…
…01011110100000110010100
32202102201001111202100111101
410301322132223310012110
510223412012422413330
6112413251414315444
74266543340440553
oct461723653640624
982381044670441
1021022232232340
11677552a057169
1224362bb058b84
13b96507562931
145296a5217d9a
15266c833004ca
hex131e9eaf4194

21022232232340 has 24 divisors (see below), whose sum is σ = 46743551670312. Its totient is φ = 7914252134400.

The previous prime is 21022232232271. The next prime is 21022232232347. The reversal of 21022232232340 is 4323223222012.

It can be written as a sum of positive squares in 4 ways, for example, as 5318733712644 + 15703498519696 = 2306238^2 + 3962764^2 .

It is a super-3 number, since 3×210222322323403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21022232232299 and 21022232232308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022232232347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30915047061 + ... + 30915047740.

It is an arithmetic number, because the mean of its divisors is an integer number (1947647986263).

Almost surely, 221022232232340 is an apocalyptic number.

21022232232340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022232232340 is an abundant number, since it is smaller than the sum of its proper divisors (25721319437972).

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

21022232232340 is a wasteful number, since it uses less digits than its factorization.

21022232232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61830094827 (or 61830094825 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 21022232232340 its reverse (4323223222012), we get a palindrome (25345455454352).

The spelling of 21022232232340 in words is "twenty-one trillion, twenty-two billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 61830094801 123660189602 247320379204 309150474005 618300948010 1051111611617 1236601896020 2102223223234 4204446446468 5255558058085 10511116116170 21022232232340