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11311722401 = 73182163493
BaseRepresentation
bin10101000100011101…
…10010111110100001
31002012100000000222112
422202032302332201
5141131300104101
65110241245105
7550213024340
oct124216627641
932170000875
1011311722401
114885199511
122238333795
1310b369ac85
14794455b57
154631166bb
hex2a23b2fa1

11311722401 has 16 divisors (see below), whose sum is σ = 13361169408. Its totient is φ = 9371419200.

The previous prime is 11311722353. The next prime is 11311722413. The reversal of 11311722401 is 10422711311.

11311722401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11311722401 - 26 = 11311722337 is a prime.

It is a super-3 number, since 3×113117224013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11311722421) 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, 146411 + ... + 209903.

It is an arithmetic number, because the mean of its divisors is an integer number (835073088).

Almost surely, 211311722401 is an apocalyptic number.

It is an amenable number.

11311722401 is a deficient number, since it is larger than the sum of its proper divisors (2049447007).

11311722401 is an equidigital number, since it uses as much as digits as its factorization.

11311722401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64352.

The product of its (nonzero) digits is 336, while the sum is 23.

The spelling of 11311722401 in words is "eleven billion, three hundred eleven million, seven hundred twenty-two thousand, four hundred one".

Divisors: 1 7 31 217 821 5747 25451 63493 178157 444451 1968283 13777981 52127753 364894271 1615960343 11311722401