Search a number
-
+
11332020000 = 25354726981
BaseRepresentation
bin10101000110111000…
…01110011100100000
31002020202012021001110
422203130032130200
5141201444120000
65112244303320
7550550403120
oct124334163440
932222167043
1011332020000
1148956a2394
1222430a1b40
1310b79569a2
1479701ac80
15464cc5850
hex2a370e720

11332020000 has 240 divisors, whose sum is σ = 42483051072. Its totient is φ = 2590080000.

The previous prime is 11332019999. The next prime is 11332020013. The reversal of 11332020000 is 2023311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406510 + ... + 433490.

Almost surely, 211332020000 is an apocalyptic number.

11332020000 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 11332020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241525536).

11332020000 is an abundant number, since it is smaller than the sum of its proper divisors (31151031072).

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

11332020000 is an equidigital number, since it uses as much as digits as its factorization.

11332020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27021 (or 26998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11332020000 its reverse (2023311), we get a palindrome (11334043311).

The spelling of 11332020000 in words is "eleven billion, three hundred thirty-two million, twenty thousand".