Search a number
-
+
221112111300 = 223525189142039
BaseRepresentation
bin1100110111101101001…
…1110001000011000100
3210010201200110001122120
43031323103301003010
512110314200030200
6245324423525540
721655235635623
oct3157323610304
9703650401576
10221112111300
1185856027973
1236a29bb98b0
1317b0a228322
14a9b7d796ba
155b41b699a0
hex337b4f10c4

221112111300 has 72 divisors (see below), whose sum is σ = 639878836800. Its totient is φ = 58951451520.

The previous prime is 221112111271. The next prime is 221112111301. The reversal of 221112111300 is 3111211122.

221112111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221112111300.

It is not an unprimeable number, because it can be changed into a prime (221112111301) 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 23 ways as a sum of consecutive naturals, for example, 1485681 + ... + 1627719.

Almost surely, 2221112111300 is an apocalyptic number.

221112111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112111300 is an abundant number, since it is smaller than the sum of its proper divisors (418766725500).

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

221112111300 is a wasteful number, since it uses less digits than its factorization.

221112111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147245 (or 147238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 221112111300 its reverse (3111211122), we get a palindrome (224223322422).

The spelling of 221112111300 in words is "two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5189 10378 15567 20756 25945 31134 51890 62268 77835 103780 129725 142039 155670 259450 284078 311340 389175 426117 518900 568156 710195 778350 852234 1420390 1556700 1704468 2130585 2840780 3550975 4261170 7101950 8522340 10652925 14203900 21305850 42611700 737040371 1474080742 2211121113 2948161484 3685201855 4422242226 7370403710 8844484452 11055605565 14740807420 18426009275 22111211130 36852018550 44222422260 55278027825 73704037100 110556055650 221112111300