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11311212024 = 2332722442881
BaseRepresentation
bin10101000100011001…
…10110010111111000
31002012022001002212200
422202030312113320
5141131132241044
65110222310200
7550205500350
oct124214662770
932168032780
1011311212024
114884980012
122238128360
1310b354c888
14794361b60
15463065369
hex2a23365f8

11311212024 has 48 divisors (see below), whose sum is σ = 35010895920. Its totient is φ = 3231774720.

The previous prime is 11311212019. The next prime is 11311212037. The reversal of 11311212024 is 42021211311.

11311212024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11311211988 and 11311212006.

It is a congruent number.

It is an unprimeable number.

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, 11220937 + ... + 11221944.

It is an arithmetic number, because the mean of its divisors is an integer number (729393665).

Almost surely, 211311212024 is an apocalyptic number.

11311212024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11311212024 is an abundant number, since it is smaller than the sum of its proper divisors (23699683896).

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

11311212024 is a wasteful number, since it uses less digits than its factorization.

11311212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22442900 (or 22442893 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11311212024 its reverse (42021211311), we get a palindrome (53332423335).

The spelling of 11311212024 in words is "eleven billion, three hundred eleven million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22442881 44885762 67328643 89771524 134657286 157100167 179543048 201985929 269314572 314200334 403971858 471300501 538629144 628400668 807943716 942601002 1256801336 1413901503 1615887432 1885202004 2827803006 3770404008 5655606012 11311212024