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1120400311 = 23211318743
BaseRepresentation
bin100001011000111…
…1111001110110111
32220002020020021211
41002301333032313
54243310302221
6303102022251
736523150132
oct10261771667
92802206254
101120400311
11525489378
12273277987
1314b174384
14a8b2d219
15685656e1
hex42c7f3b7

1120400311 has 12 divisors (see below), whose sum is σ = 1181659248. Its totient is φ = 1062146624.

The previous prime is 1120400291. The next prime is 1120400339. The reversal of 1120400311 is 1130040211.

It is not a de Polignac number, because 1120400311 - 227 = 986182583 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120400291 and 1120400300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120400371) 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 11 ways as a sum of consecutive naturals, for example, 50406 + ... + 69148.

It is an arithmetic number, because the mean of its divisors is an integer number (98471604).

Almost surely, 21120400311 is an apocalyptic number.

1120400311 is a deficient number, since it is larger than the sum of its proper divisors (61258937).

1120400311 is a wasteful number, since it uses less digits than its factorization.

1120400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1120400311 is about 33472.3813165422. The cubic root of 1120400311 is about 1038.6225325672.

Adding to 1120400311 its reverse (1130040211), we get a palindrome (2250440522).

The spelling of 1120400311 in words is "one billion, one hundred twenty million, four hundred thousand, three hundred eleven".

Divisors: 1 23 113 529 2599 18743 59777 431089 2117959 9915047 48713057 1120400311