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20121322311 = 323167705937
BaseRepresentation
bin10010101111010100…
…110000001101000111
31220221021211002011200
4102233110300031013
5312202024303221
613124341433543
71311424263156
oct225724601507
956837732150
1020121322311
118595a642a2
123a9670b8b3
131b8887569c
14d8c46759d
157cb733426
hex4af530347

20121322311 has 12 divisors (see below), whose sum is σ = 29073350592. Its totient is φ = 13409960256.

The previous prime is 20121322307. The next prime is 20121322367. The reversal of 20121322311 is 11322312102.

20121322311 is a `hidden beast` number, since 20 + 12 + 1 + 322 + 311 = 666.

It is not a de Polignac number, because 20121322311 - 22 = 20121322307 is a prime.

It is a super-2 number, since 2×201213223112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121322301) 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, 324466 + ... + 381471.

It is an arithmetic number, because the mean of its divisors is an integer number (2422779216).

Almost surely, 220121322311 is an apocalyptic number.

20121322311 is a deficient number, since it is larger than the sum of its proper divisors (8952028281).

20121322311 is a wasteful number, since it uses less digits than its factorization.

20121322311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709110 (or 709107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121322311 its reverse (11322312102), we get a palindrome (31443634413).

The spelling of 20121322311 in words is "twenty billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 3167 9501 28503 705937 2117811 6353433 2235702479 6707107437 20121322311