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11312012404 = 2273117271031
BaseRepresentation
bin10101000100011111…
…11001110001110100
31002012100112202210101
422202033321301310
5141131333344104
65110251403444
7550215343000
oct124217716164
932170482711
1011312012404
114885377390
122238453584
1310b376cc84
147944cd700
154631725a4
hex2a23f9c74

11312012404 has 96 divisors (see below), whose sum is σ = 25243545600. Its totient is φ = 4396946400.

The previous prime is 11312012303. The next prime is 11312012419. The reversal of 11312012404 is 40421021311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10971369 + ... + 10972399.

It is an arithmetic number, because the mean of its divisors is an integer number (262953600).

Almost surely, 211312012404 is an apocalyptic number.

11312012404 is a gapful number since it is divisible by the number (14) 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 11312012404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621772800).

11312012404 is an abundant number, since it is smaller than the sum of its proper divisors (13931533196).

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

11312012404 is a wasteful number, since it uses less digits than its factorization.

11312012404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11312012404 its reverse (40421021311), we get a palindrome (51733033715).

The spelling of 11312012404 in words is "eleven billion, three hundred twelve million, twelve thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 727 1031 1078 1372 1454 2062 2156 2908 3773 4124 5089 7217 7546 7997 10178 11341 14434 15092 15994 20356 22682 28868 31988 35623 45364 50519 55979 71246 79387 101038 111958 142492 158774 202076 223916 249361 317548 353633 391853 498722 555709 707266 749537 783706 997444 1111418 1414532 1499074 1567412 2222836 2742971 2998148 3889963 5246759 5485942 7779926 8244907 10493518 10971884 15559852 16489814 20987036 32979628 36727313 57714349 73454626 115428698 146909252 230857396 257091191 404000443 514182382 808000886 1028364764 1616001772 2828003101 5656006202 11312012404