Search a number
-
+
1103012310000 = 24354283129919
BaseRepresentation
bin10000000011010000101…
…010000010101111110000
310220110001211020222012210
4100003100222002233300
5121032432122410000
62202414501452120
7142455446640306
oct20032052025760
93813054228183
101103012310000
1139586a76a097
12159930711040
1380023bac923
143b559596276
151da5a177350
hex100d0a82bf0

1103012310000 has 200 divisors, whose sum is σ = 3573280184320. Its totient is φ = 293095008000.

The previous prime is 1103012309999. The next prime is 1103012310013. The reversal of 1103012310000 is 132103011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11030123100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8425041 + ... + 8554959.

Almost surely, 21103012310000 is an apocalyptic number.

1103012310000 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 1103012310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786640092160).

1103012310000 is an abundant number, since it is smaller than the sum of its proper divisors (2470267874320).

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

1103012310000 is a wasteful number, since it uses less digits than its factorization.

1103012310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130233 (or 130212 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1103012310000 its reverse (132103011), we get a palindrome (1103144413011).

The spelling of 1103012310000 in words is "one trillion, one hundred three billion, twelve million, three hundred ten thousand".