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22132312041 = 375092070569
BaseRepresentation
bin10100100111001100…
…000100011111101001
32010010102211221110210
4110213030010133221
5330311332441131
614100100131333
71412313356040
oct244714043751
963112757423
1022132312041
119428127684
124358096b49
132119399c38
1410dd583557
15898067146
hex5273047e9

22132312041 has 16 divisors (see below), whose sum is σ = 33791702400. Its totient is φ = 12622182528.

The previous prime is 22132312031. The next prime is 22132312063. The reversal of 22132312041 is 14021323122.

It is not a de Polignac number, because 22132312041 - 29 = 22132311529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22132311999 and 22132312017.

It is not an unprimeable number, because it can be changed into a prime (22132312001) by changing a digit.

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, 1024596 + ... + 1045973.

It is an arithmetic number, because the mean of its divisors is an integer number (2111981400).

Almost surely, 222132312041 is an apocalyptic number.

22132312041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22132312041 is a deficient number, since it is larger than the sum of its proper divisors (11659390359).

22132312041 is a wasteful number, since it uses less digits than its factorization.

22132312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071088.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22132312041 its reverse (14021323122), we get a palindrome (36153635163).

The spelling of 22132312041 in words is "twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, forty-one".

Divisors: 1 3 7 21 509 1527 3563 10689 2070569 6211707 14493983 43481949 1053919621 3161758863 7377437347 22132312041