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11312113221312 = 263561711048891
BaseRepresentation
bin1010010010011100111001…
…1111010111111011000000
31111001102112121202002211220
42210213032133113323000
52440314201441040222
640020414005035040
72245162465612011
oct244471637277300
944042477662756
1011312113221312
113671493009712
1213284439b5a80
1364095c9a9b27
142b171b369008
151493c2500b5c
hexa49ce7d7ec0

11312113221312 has 56 divisors (see below), whose sum is σ = 29930527603392. Its totient is φ = 3770633683200.

The previous prime is 11312113221247. The next prime is 11312113221377. The reversal of 11312113221312 is 21312231121311.

It is an interprime number because it is at equal distance from previous prime (11312113221247) and next prime (11312113221377).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10260387 + ... + 11309277.

Almost surely, 211312113221312 is an apocalyptic number.

11312113221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312113221312 is an abundant number, since it is smaller than the sum of its proper divisors (18618414382080).

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

11312113221312 is a wasteful number, since it uses less digits than its factorization.

11312113221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105077 (or 1105067 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 11312113221312 its reverse (21312231121311), we get a palindrome (32624344342623).

The spelling of 11312113221312 in words is "eleven trillion, three hundred twelve billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 56171 112342 168513 224684 337026 449368 674052 898736 1048891 1348104 1797472 2097782 2696208 3146673 3594944 4195564 5392416 6293346 8391128 10784832 12586692 16782256 25173384 33564512 50346768 67129024 100693536 201387072 58917256361 117834512722 176751769083 235669025444 353503538166 471338050888 707007076332 942676101776 1414014152664 1885352203552 2828028305328 3770704407104 5656056610656 11312113221312