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211313322332033 = 418927575773109
BaseRepresentation
bin110000000011000000110111…
…100000111000111110000001
31000201012100121202112100111212
4300003000313200320332001
5210144124141004111113
62025232000010015505
762336612055421625
oct6003006740707601
91021170552470455
10211313322332033
1161370527590819
121b849b30117595
1390ba9b760002c
143a278957b1185
151966b277ca0a8
hexc03037838f81

211313322332033 has 8 divisors (see below), whose sum is σ = 216467585769960. Its totient is φ = 206159072225920.

The previous prime is 211313322332009. The next prime is 211313322332053. The reversal of 211313322332033 is 330233223313112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32551395176689 + 178761927155344 = 5705383^2 + 13370188^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211313322332033 - 222 = 211313318137729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211313322332053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33716483 + ... + 39489591.

It is an arithmetic number, because the mean of its divisors is an integer number (27058448221245).

Almost surely, 2211313322332033 is an apocalyptic number.

It is an amenable number.

211313322332033 is a deficient number, since it is larger than the sum of its proper divisors (5154263437927).

211313322332033 is an equidigital number, since it uses as much as digits as its factorization.

211313322332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665907.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 211313322332033 its reverse (330233223313112), we get a palindrome (541546545645145).

The spelling of 211313322332033 in words is "two hundred eleven trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 41 892757 5773109 36603037 236697469 5153983471513 211313322332033