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11212300400 = 245274004393
BaseRepresentation
bin10100111000100111…
…00010000001110000
31001221101220212122012
422130103202001300
5140430322103100
65052330302052
7544564660310
oct123423420160
931841825565
1011212300400
114834062274
12220ab87928
131098bca5a2
14785175440
15459528135
hex29c4e2070

11212300400 has 60 divisors (see below), whose sum is σ = 30785781072. Its totient is φ = 3844216320.

The previous prime is 11212300339. The next prime is 11212300447. The reversal of 11212300400 is 400321211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999397 + ... + 2004996.

Almost surely, 211212300400 is an apocalyptic number.

11212300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212300400 is an abundant number, since it is smaller than the sum of its proper divisors (19573480672).

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

11212300400 is a wasteful number, since it uses less digits than its factorization.

11212300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004418 (or 4004407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11212300400 its reverse (400321211), we get a palindrome (11612621611).

The spelling of 11212300400 in words is "eleven billion, two hundred twelve million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4004393 8008786 16017572 20021965 28030751 32035144 40043930 56061502 64070288 80087860 100109825 112123004 140153755 160175720 200219650 224246008 280307510 320351440 400439300 448492016 560615020 700768775 800878600 1121230040 1401537550 1601757200 2242460080 2803075100 5606150200 11212300400