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11311401312 = 253239275699
BaseRepresentation
bin10101000100011011…
…00100100101100000
31002012022101201112100
422202031210211200
5141131204320222
65110230330400
7550210216251
oct124215444540
932168351470
1011311401312
114884a9a252
1222381b9a00
1310b35b7a93
147943b0b28
154630a14ac
hex2a2364960

11311401312 has 36 divisors (see below), whose sum is σ = 32166798300. Its totient is φ = 3770467008.

The previous prime is 11311401289. The next prime is 11311401323. The reversal of 11311401312 is 21310411311.

It is a happy number.

11311401312 is a `hidden beast` number, since 1 + 1 + 311 + 40 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×113114013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19637562 + ... + 19638137.

It is an arithmetic number, because the mean of its divisors is an integer number (893522175).

Almost surely, 211311401312 is an apocalyptic number.

11311401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311401312 is an abundant number, since it is smaller than the sum of its proper divisors (20855396988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11311401312 is a wasteful number, since it uses less digits than its factorization.

11311401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39275715 (or 39275704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11311401312 its reverse (21310411311), we get a palindrome (32621812623).

Subtracting 11311401312 from its reverse (21310411311), we obtain a palindrome (9999009999).

The spelling of 11311401312 in words is "eleven billion, three hundred eleven million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39275699 78551398 117827097 157102796 235654194 314205592 353481291 471308388 628411184 706962582 942616776 1256822368 1413925164 1885233552 2827850328 3770467104 5655700656 11311401312