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1130000311 = 11436413727
BaseRepresentation
bin100001101011010…
…0110111110110111
32220202021222000101
41003112212332313
54303240002221
6304043454531
740000562356
oct10326467667
92822258011
101130000311
1152a945a60
12276527447
13150155b4b
14aa10b99d
156930ed91
hex435a6fb7

1130000311 has 16 divisors (see below), whose sum is σ = 1263702528. Its totient is φ = 1001548800.

The previous prime is 1130000309. The next prime is 1130000317.

1130000311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1130000311 - 21 = 1130000309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130000317) 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 15 ways as a sum of consecutive naturals, for example, 301330 + ... + 305056.

It is an arithmetic number, because the mean of its divisors is an integer number (78981408).

Almost surely, 21130000311 is an apocalyptic number.

1130000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130000311 is a deficient number, since it is larger than the sum of its proper divisors (133702217).

1130000311 is a wasteful number, since it uses less digits than its factorization.

1130000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1130000311 is about 33615.4772537889. The cubic root of 1130000311 is about 1041.5805328616.

It can be divided in two parts, 1130000 and 311, that added together give a palindrome (1130311).

The spelling of 1130000311 in words is "one billion, one hundred thirty million, three hundred eleven", and thus it is an aban number.

Divisors: 1 11 43 473 641 3727 7051 27563 40997 160261 303193 1762871 2389007 26279077 102727301 1130000311