Search a number
-
+
11320101100 = 22527111725087
BaseRepresentation
bin10101000101011101…
…10000100011101100
31002012220202201101201
422202232300203230
5141140421213400
65111141015244
7550344162130
oct124256604354
932186681351
1011320101100
1148899a1560
12223b0b4524
1310b5342899
147955d73c0
15463c1e06a
hex2a2bb08ec

11320101100 has 216 divisors, whose sum is σ = 32539917312. Its totient is φ = 3320140800.

The previous prime is 11320101097. The next prime is 11320101103. The reversal of 11320101100 is 110102311.

It is an interprime number because it is at equal distance from previous prime (11320101097) and next prime (11320101103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11320101103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2222757 + ... + 2227843.

Almost surely, 211320101100 is an apocalyptic number.

11320101100 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 11320101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269958656).

11320101100 is an abundant number, since it is smaller than the sum of its proper divisors (21219816212).

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

11320101100 is a wasteful number, since it uses less digits than its factorization.

11320101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11320101100 its reverse (110102311), we get a palindrome (11430203411).

The spelling of 11320101100 in words is "eleven billion, three hundred twenty million, one hundred one thousand, one hundred".