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121111000100 = 22522335197897
BaseRepresentation
bin111000011001011000…
…1110011010000100100
3102120121102201021010022
41300302301303100210
53441013404000400
6131345421014312
711515146341516
oct1606261632044
9376542637108
10121111000100
11473aa002a22
121b57b9b4398
13b561419b8c
145c0cb09bb6
15323c7b0b85
hex1c32c73424

121111000100 has 36 divisors (see below), whose sum is σ = 263938864644. Its totient is φ = 48236474880.

The previous prime is 121111000099. The next prime is 121111000103. The reversal of 121111000100 is 1000111121.

It is a happy number.

121111000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 23906725924 + 97204274176 = 154618^2 + 311776^2 .

It is not an unprimeable number, because it can be changed into a prime (121111000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2575649 + ... + 2622248.

It is an arithmetic number, because the mean of its divisors is an integer number (7331635129).

Almost surely, 2121111000100 is an apocalyptic number.

121111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111000100 is an abundant number, since it is smaller than the sum of its proper divisors (142827864544).

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

121111000100 is a wasteful number, since it uses less digits than its factorization.

121111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198144 (or 5198137 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121111000100 its reverse (1000111121), we get a palindrome (122111111221).

The spelling of 121111000100 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 11650 23300 5197897 10395794 20791588 25989485 51978970 103957940 129947425 259894850 519789700 1211110001 2422220002 4844440004 6055550005 12111100010 24222200020 30277750025 60555500050 121111000100