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1122100240 = 24583168991
BaseRepresentation
bin100001011100001…
…1110010000010000
32220012102121011011
41002320132100100
54244224201430
6303202300304
736543460162
oct10270362020
92805377134
101122100240
1152643a578
12273957694
1314b61b051
14a9052932
156879e22a
hex42e1e410

1122100240 has 40 divisors (see below), whose sum is σ = 2640331008. Its totient is φ = 443429760.

The previous prime is 1122100201. The next prime is 1122100289. The reversal of 1122100240 is 420012211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1122100240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77856 + ... + 91135.

Almost surely, 21122100240 is an apocalyptic number.

1122100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122100240 is an abundant number, since it is smaller than the sum of its proper divisors (1518230768).

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

1122100240 is a wasteful number, since it uses less digits than its factorization.

1122100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169087 (or 169081 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1122100240 is about 33497.7647015439. The cubic root of 1122100240 is about 1039.1475509773.

Adding to 1122100240 its reverse (420012211), we get a palindrome (1542112451).

The spelling of 1122100240 in words is "one billion, one hundred twenty-two million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 168991 337982 675964 844955 1351928 1689910 2703856 3379820 6759640 13519280 14026253 28052506 56105012 70131265 112210024 140262530 224420048 280525060 561050120 1122100240