Search a number
-
+
1100232233100 = 223252711132372539
BaseRepresentation
bin10000000000101010111…
…100111001000010001100
310220011220002001102122200
4100000222330321002030
5121011233422424400
62201234551041500
7142326531450660
oct20005274710214
93804802042580
101100232233100
1139467345a180
12159295670290
137c99cc39b00
143b37427a8a0
151d946075b00
hex1002af3908c

1100232233100 has 1296 divisors, whose sum is σ = 4783466338560. Its totient is φ = 205249075200.

The previous prime is 1100232233099. The next prime is 1100232233131. The reversal of 1100232233100 is 13322320011.

1100232233100 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 322 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×11002322331002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 433331631 + ... + 433334169.

Almost surely, 21100232233100 is an apocalyptic number.

1100232233100 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 1100232233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391733169280).

1100232233100 is an abundant number, since it is smaller than the sum of its proper divisors (3683234105460).

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

1100232233100 is a wasteful number, since it uses less digits than its factorization.

1100232233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100232233100 its reverse (13322320011), we get a palindrome (1113554553111).

The spelling of 1100232233100 in words is "one trillion, one hundred billion, two hundred thirty-two million, two hundred thirty-three thousand, one hundred".