Search a number
-
+
1102110000 = 24354172161
BaseRepresentation
bin100000110110000…
…1101110100110000
32211210210222200220
41001230031310300
54224120010000
6301210013040
736211531455
oct10154156460
92753728626
101102110000
11516126612
12269117180
1314743c1c4
14a652b82c
1566b511a0
hex41b0dd30

1102110000 has 200 divisors, whose sum is σ = 3768781104. Its totient is φ = 276480000.

The previous prime is 1102109977. The next prime is 1102110007. The reversal of 1102110000 is 112011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1102110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508920 + ... + 511080.

Almost surely, 21102110000 is an apocalyptic number.

1102110000 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 1102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884390552).

1102110000 is an abundant number, since it is smaller than the sum of its proper divisors (2666671104).

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

1102110000 is a wasteful number, since it uses less digits than its factorization.

1102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1102110000 is about 33198.0421109438. The cubic root of 1102110000 is about 1032.9397275336.

Adding to 1102110000 its reverse (112011), we get a palindrome (1102222011).

The spelling of 1102110000 in words is "one billion, one hundred two million, one hundred ten thousand".