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11312130312 = 23327211106373
BaseRepresentation
bin10101000100100000…
…10110100100001000
31002012100202202112100
422202100112210020
5141131401132222
65110254113400
7550216343520
oct124220264410
932170682470
1011312130312
114885447a2a
1222384ab860
1310b37b1842
14794520680
154631974ac
hex2a2416908

11312130312 has 96 divisors (see below), whose sum is σ = 35180009280. Its totient is φ = 3216689280.

The previous prime is 11312130197. The next prime is 11312130329. The reversal of 11312130312 is 21303121311.

11312130312 is a `hidden beast` number, since 11 + 312 + 1 + 30 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53158 + ... + 159530.

It is an arithmetic number, because the mean of its divisors is an integer number (366458430).

Almost surely, 211312130312 is an apocalyptic number.

11312130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590004640).

11312130312 is an abundant number, since it is smaller than the sum of its proper divisors (23867878968).

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

11312130312 is a wasteful number, since it uses less digits than its factorization.

11312130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106603 (or 106596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312130312 its reverse (21303121311), we get a palindrome (32615251623).

Subtracting 11312130312 from its reverse (21303121311), we obtain a palindrome (9990990999).

The spelling of 11312130312 in words is "eleven billion, three hundred twelve million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 211 252 422 504 633 844 1266 1477 1688 1899 2532 2954 3798 4431 5064 5908 7596 8862 11816 13293 15192 17724 26586 35448 53172 106344 106373 212746 319119 425492 638238 744611 850984 957357 1276476 1489222 1914714 2233833 2552952 2978444 3829428 4467666 5956888 6701499 7658856 8935332 13402998 17870664 22444703 26805996 44889406 53611992 67334109 89778812 134668218 157112921 179557624 202002327 269336436 314225842 404004654 471338763 538672872 628451684 808009308 942677526 1256903368 1414016289 1616018616 1885355052 2828032578 3770710104 5656065156 11312130312