Search a number
-
+
11220101100 = 22335213373857
BaseRepresentation
bin10100111001100010…
…10010011111101100
31001221221121012012000
422130301102133230
5140434321213400
65053205412300
7545021200005
oct123461223754
931857535160
1011220101100
11483850002a
12221170a090
13109a6cc0a0
147862061ac
1545a069600
hex29cc527ec

11220101100 has 288 divisors, whose sum is σ = 38994795840. Its totient is φ = 2751252480.

The previous prime is 11220101089. The next prime is 11220101107. The reversal of 11220101100 is 110102211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11220101107) 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, 13091872 + ... + 13092728.

Almost surely, 211220101100 is an apocalyptic number.

11220101100 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 11220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497397920).

11220101100 is an abundant number, since it is smaller than the sum of its proper divisors (27774694740).

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

11220101100 is a wasteful number, since it uses less digits than its factorization.

11220101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11220101100 its reverse (110102211), we get a palindrome (11330203311).

The spelling of 11220101100 in words is "eleven billion, two hundred twenty million, one hundred one thousand, one hundred".