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100022113331 = 728929228611
BaseRepresentation
bin101110100100111001…
…0000101010000110011
3100120011201020211000222
41131021302011100303
53114321130111311
6113541033003255
710140432635600
oct1351162052063
9316151224028
10100022113331
113946796a188
121747525352b
139580282a5a
144babd796a7
152906156adb
hex1749c85433

100022113331 has 12 divisors (see below), whose sum is σ = 116365794120. Its totient is φ = 85723263360.

The previous prime is 100022113271. The next prime is 100022113333. The reversal of 100022113331 is 133311220001.

It is a de Polignac number, because none of the positive numbers 2k-100022113331 is a prime.

It is a super-2 number, since 2×1000221133312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022113333) 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 11 ways as a sum of consecutive naturals, for example, 323216 + ... + 551826.

It is an arithmetic number, because the mean of its divisors is an integer number (9697149510).

Almost surely, 2100022113331 is an apocalyptic number.

100022113331 is a deficient number, since it is larger than the sum of its proper divisors (16343680789).

100022113331 is an equidigital number, since it uses as much as digits as its factorization.

100022113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237554 (or 237547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100022113331 its reverse (133311220001), we get a palindrome (233333333332).

The spelling of 100022113331 in words is "one hundred billion, twenty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 49 8929 62503 228611 437521 1600277 11201939 2041267619 14288873333 100022113331