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11313311310 = 234571995293
BaseRepresentation
bin10101000100101001…
…10110111001001110
31002012102222202120000
422202110312321032
5141132201430220
65110335305130
7550232362620
oct124224667116
932172882500
1011313311310
114886084264
12223897b1a6
1310b3b06262
1479474ac10
1546332c390
hex2a2536e4e

11313311310 has 80 divisors (see below), whose sum is σ = 34766002656. Its totient is φ = 2585898432.

The previous prime is 11313311263. The next prime is 11313311329. The reversal of 11313311310 is 1311331311.

11313311310 is a `hidden beast` number, since 11 + 31 + 3 + 311 + 310 = 666.

11313311310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113133113102 (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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 991977 + ... + 1003316.

Almost surely, 211313311310 is an apocalyptic number.

11313311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11313311310 is an abundant number, since it is smaller than the sum of its proper divisors (23452691346).

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

11313311310 is a wasteful number, since it uses less digits than its factorization.

11313311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995319 (or 1995310 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11313311310 its reverse (1311331311), we get a palindrome (12624642621).

The spelling of 11313311310 in words is "eleven billion, three hundred thirteen million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 1995293 3990586 5985879 9976465 11971758 13967051 17957637 19952930 27934102 29929395 35915274 41901153 53872911 59858790 69835255 83802306 89788185 107745822 125703459 139670510 161618733 179576370 209505765 251406918 269364555 323237466 377110377 419011530 538729110 628517295 754220754 808093665 1131331131 1257034590 1616187330 1885551885 2262662262 3771103770 5656655655 11313311310