Search a number
-
+
1130121111400 = 235219329277749
BaseRepresentation
bin10000011100100000011…
…101111010011101101000
311000001001002020202201021
4100130200131322131220
5122003442001031100
62223100453302224
7144435311643601
oct20344035723550
94001032222637
101130121111400
113a63109a5896
12163037334974
1382754296108
143c9aba3ada8
151e5e504ea1a
hex1072077a768

1130121111400 has 48 divisors (see below), whose sum is σ = 2641145827500. Its totient is φ = 449706209280.

The previous prime is 1130121111397. The next prime is 1130121111407. The reversal of 1130121111400 is 41111210311.

It can be written as a sum of positive squares in 6 ways, for example, as 292306747716 + 837814363684 = 540654^2 + 915322^2 .

It is not an unprimeable number, because it can be changed into a prime (1130121111407) 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 11 ways as a sum of consecutive naturals, for example, 14600275 + ... + 14677474.

Almost surely, 21130121111400 is an apocalyptic number.

1130121111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130121111400 is an abundant number, since it is smaller than the sum of its proper divisors (1511024716100).

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

1130121111400 is a wasteful number, since it uses less digits than its factorization.

1130121111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29277958 (or 29277949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1130121111400 its reverse (41111210311), we get a palindrome (1171232321711).

The spelling of 1130121111400 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 38600 29277749 58555498 117110996 146388745 234221992 292777490 585554980 731943725 1171109960 1463887450 2927774900 5650605557 5855549800 11301211114 22602422228 28253027785 45204844456 56506055570 113012111140 141265138925 226024222280 282530277850 565060555700 1130121111400