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11313331320 = 2335577163393
BaseRepresentation
bin10101000100101001…
…11011110001111000
31002012110000210000010
422202110323301320
5141132203100240
65110335541520
7550232505144
oct124224736170
932173023003
1011313331320
1148860982a5
12223898a8a0
1310b3b123b5
14794754224
15463333280
hex2a253bc78

11313331320 has 64 divisors (see below), whose sum is σ = 33999023520. Its totient is φ = 3011641344.

The previous prime is 11313331313. The next prime is 11313331327. The reversal of 11313331320 is 2313331311.

11313331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11313331313) and next prime (11313331327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313331327) 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, 12457 + ... + 150936.

Almost surely, 211313331320 is an apocalyptic number.

11313331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313331320 is an abundant number, since it is smaller than the sum of its proper divisors (22685692200).

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

11313331320 is a wasteful number, since it uses less digits than its factorization.

11313331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163984 (or 163980 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11313331320 its reverse (2313331311), we get a palindrome (13626662631).

Subtracting from 11313331320 its reverse (2313331311), we obtain a palindrome (9000000009).

It can be divided in two parts, 113133 and 31320, that added together give a triangular number (144453 = T537).

The spelling of 11313331320 in words is "eleven billion, three hundred thirteen million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 11540 13848 17310 23080 34620 69240 163393 326786 490179 653572 816965 980358 1307144 1633930 1960716 2450895 3267860 3921432 4901790 6535720 9803580 19607160 94277761 188555522 282833283 377111044 471388805 565666566 754222088 942777610 1131333132 1414166415 1885555220 2262666264 2828332830 3771110440 5656665660 11313331320