Search a number
-
+
1113504000000 = 21135671657
BaseRepresentation
bin10000001101000010000…
…000101010100000000000
310221110011000020001012220
4100031002000222200000
5121220424011000000
62211311531051040
7143306444555640
oct20150200524000
93843130201186
101113504000000
1139a263a85077
1215b97a2a0a80
1381006702912
143bc72b4a520
151de712ab1a0
hex1034202a800

1113504000000 has 672 divisors, whose sum is σ = 4243389433920. Its totient is φ = 254361600000.

The previous prime is 1113503999953. The next prime is 1113504000017. The reversal of 1113504000000 is 4053111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 671999172 + ... + 672000828.

It is an arithmetic number, because the mean of its divisors is an integer number (6314567610).

Almost surely, 21113504000000 is an apocalyptic number.

1113504000000 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 1113504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121694716960).

1113504000000 is an abundant number, since it is smaller than the sum of its proper divisors (3129885433920).

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

1113504000000 is an frugal number, since it uses more digits than its factorization.

1113504000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 1113504000000 its reverse (4053111), we get a palindrome (1113508053111).

The spelling of 1113504000000 in words is "one trillion, one hundred thirteen billion, five hundred four million", and thus it is an aban number.