Search a number
-
+
1133100301220 = 22529311313071567
BaseRepresentation
bin10000011111010010000…
…010100111101110100100
311000022201201010021211222
4100133102002213232210
5122031042134114340
62224312235515512
7144602165434316
oct20372202475644
94008651107758
101133100301220
113a75aa642238
12163728bb8b98
1382b0a572524
143cbb15877b6
151e71b8828b5
hex107d20a7ba4

1133100301220 has 192 divisors, whose sum is σ = 2570343874560. Its totient is φ = 418625625600.

The previous prime is 1133100301217. The next prime is 1133100301243. The reversal of 1133100301220 is 221030013311.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 723100877 + ... + 723102443.

It is an arithmetic number, because the mean of its divisors is an integer number (13387207680).

Almost surely, 21133100301220 is an apocalyptic number.

1133100301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133100301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285171937280).

1133100301220 is an abundant number, since it is smaller than the sum of its proper divisors (1437243573340).

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

1133100301220 is a wasteful number, since it uses less digits than its factorization.

1133100301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1133100301220 its reverse (221030013311), we get a palindrome (1354130314531).

The spelling of 1133100301220 in words is "one trillion, one hundred thirty-three billion, one hundred million, three hundred one thousand, two hundred twenty".