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11232000320 = 265231526087
BaseRepresentation
bin10100111010111101…
…01011100101000000
31001222202222201211212
422131132223211000
5141000343002240
65054312425252
7545224266422
oct123536534500
931882881755
1011232000320
1148441980a2
1222156a8228
1310a0007248
14787a22812
1545b11a165
hex29d7ab940

11232000320 has 56 divisors (see below), whose sum is σ = 27909097344. Its totient is φ = 4297458176.

The previous prime is 11232000281. The next prime is 11232000323. The reversal of 11232000320 is 2300023211.

It is a happy number.

11232000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11232000295 and 11232000304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232000323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 755684 + ... + 770403.

Almost surely, 211232000320 is an apocalyptic number.

11232000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232000320 is an abundant number, since it is smaller than the sum of its proper divisors (16677097024).

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

11232000320 is a wasteful number, since it uses less digits than its factorization.

11232000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526127 (or 1526117 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11232000320 its reverse (2300023211), we get a palindrome (13532023531).

The spelling of 11232000320 in words is "eleven billion, two hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 1526087 3052174 6104348 7630435 12208696 15260870 24417392 30521740 35100001 48834784 61043480 70200002 97669568 122086960 140400004 175500005 244173920 280800008 351000010 488347840 561600016 702000020 1123200032 1404000040 2246400064 2808000080 5616000160 11232000320