Search a number
-
+
1130231113024 = 2613291132571613
BaseRepresentation
bin10000011100100111000…
…001100010010101000000
311000001022202020102120111
4100130213001202111000
5122004203131104044
62223115423121104
7144441115643206
oct20344701422500
94001282212514
101130231113024
113a6367aa8722
12163068143194
1382770ccc130
143c9bc4b3076
151e5eea2cb34
hex10727062540

1130231113024 has 224 divisors, whose sum is σ = 2532101433120. Its totient is φ = 496949526528.

The previous prime is 1130231113013. The next prime is 1130231113049. The reversal of 1130231113024 is 4203111320311.

It can be written as a sum of positive squares in 16 ways, for example, as 267992582400 + 862238530624 = 517680^2 + 928568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130231112986 and 1130231113004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700700442 + ... + 700702054.

It is an arithmetic number, because the mean of its divisors is an integer number (11304024255).

Almost surely, 21130231113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130231113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266050716560).

1130231113024 is an abundant number, since it is smaller than the sum of its proper divisors (1401870320096).

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

1130231113024 is a wasteful number, since it uses less digits than its factorization.

1130231113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1130231113024 its reverse (4203111320311), we get a palindrome (5333342433335).

The spelling of 1130231113024 in words is "one trillion, one hundred thirty billion, two hundred thirty-one million, one hundred thirteen thousand, twenty-four".