Search a number
-
+
11110400020 = 2252309240589
BaseRepresentation
bin10100101100011101…
…10100000000010100
31001200022011210121001
422112032310000110
5140223230300040
65034250233044
7542216561536
oct122616640024
931608153531
1011110400020
114791592a85
1221a0a25784
131080a6cac5
1477580b856
154505ea59a
hex2963b4014

11110400020 has 24 divisors (see below), whose sum is σ = 23342041800. Its totient is φ = 4442216832.

The previous prime is 11110400009. The next prime is 11110400023. The reversal of 11110400020 is 2000401111.

It can be written as a sum of positive squares in 4 ways, for example, as 3405422736 + 7704977284 = 58356^2 + 87778^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110400023) 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 7 ways as a sum of consecutive naturals, for example, 74115 + ... + 166474.

It is an arithmetic number, because the mean of its divisors is an integer number (972585075).

Almost surely, 211110400020 is an apocalyptic number.

11110400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110400020 is an abundant number, since it is smaller than the sum of its proper divisors (12231641780).

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

11110400020 is a wasteful number, since it uses less digits than its factorization.

11110400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242907 (or 242905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11110400020 its reverse (2000401111), we get a palindrome (13110801131).

The spelling of 11110400020 in words is "eleven billion, one hundred ten million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2309 4618 9236 11545 23090 46180 240589 481178 962356 1202945 2405890 4811780 555520001 1111040002 2222080004 2777600005 5555200010 11110400020