Search a number
-
+
1330243514100 = 2233523159326801
BaseRepresentation
bin10011010110111000101…
…100010010111011110100
311201011120221212011011000
4103112320230102323310
5133243314314422400
62455034435043300
7165051450210024
oct23267054227364
94634527764130
101330243514100
11473175869a46
12195987a40530
1398597a70a07
14485540a1a84
1524909101600
hex135b8b12ef4

1330243514100 has 288 divisors, whose sum is σ = 4422046970880. Its totient is φ = 342696960000.

The previous prime is 1330243514099. The next prime is 1330243514107. The reversal of 1330243514100 is 14153420331.

It is a happy number.

1330243514100 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 43 + 514 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330243514107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49620700 + ... + 49647500.

It is an arithmetic number, because the mean of its divisors is an integer number (15354329760).

Almost surely, 21330243514100 is an apocalyptic number.

1330243514100 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 1330243514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211023485440).

1330243514100 is an abundant number, since it is smaller than the sum of its proper divisors (3091803456780).

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

1330243514100 is a wasteful number, since it uses less digits than its factorization.

1330243514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27448 (or 27435 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1330243514100 its reverse (14153420331), we get a palindrome (1344396934431).

The spelling of 1330243514100 in words is "one trillion, three hundred thirty billion, two hundred forty-three million, five hundred fourteen thousand, one hundred".