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11132000230 = 2513235963103
BaseRepresentation
bin10100101111000010…
…01101011111100110
31001201210211012111211
422113201031133212
5140244243001410
65040341222034
7542601304111
oct122741153746
931653735454
1011132000230
1147a27a659a
1221a810191a
1310853936b0
14778631578
1545246568a
hex29784d7e6

11132000230 has 64 divisors (see below), whose sum is σ = 22899179520. Its totient is φ = 3864871296.

The previous prime is 11132000203. The next prime is 11132000237. The reversal of 11132000230 is 3200023111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11132000230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132000237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144859 + ... + 207961.

It is an arithmetic number, because the mean of its divisors is an integer number (357799680).

Almost surely, 211132000230 is an apocalyptic number.

11132000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11132000230 is an abundant number, since it is smaller than the sum of its proper divisors (11767179290).

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

11132000230 is a wasteful number, since it uses less digits than its factorization.

11132000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63205.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11132000230 its reverse (3200023111), we get a palindrome (14332023341).

It can be divided in two parts, 11132000 and 230, that multiplied together give a square (2560360000 = 506002).

The spelling of 11132000230 in words is "eleven billion, one hundred thirty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 13 23 26 46 59 65 115 118 130 230 295 299 590 598 767 1357 1495 1534 2714 2990 3835 6785 7670 13570 17641 35282 63103 88205 126206 176410 315515 631030 820339 1451369 1640678 2902738 3723077 4101695 7256845 7446154 8203390 14513690 18615385 18867797 37230770 37735594 48400001 85630771 94338985 96800002 171261542 188677970 242000005 428153855 484000010 856307710 1113200023 2226400046 5566000115 11132000230