Search a number
-
+
1113312311001 = 321123488938213
BaseRepresentation
bin10000001100110110100…
…101011011011011011001
310221102122122112020100100
4100030312211123123121
5121220030422423001
62211240522330013
7143301626334612
oct20146645333331
93842578466310
101113312311001
1139a175859310
1215b926059909
1380ca5a98487
143bc554ccc09
151de5e544586
hex1033695b6d9

1113312311001 has 24 divisors (see below), whose sum is σ = 1830584673216. Its totient is φ = 645398439840.

The previous prime is 1113312310931. The next prime is 1113312311071. The reversal of 1113312311001 is 1001132133111.

1113312311001 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 231 + 100 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1113312310931) and next prime (1113312311071).

It is not a de Polignac number, because 1113312311001 - 29 = 1113312310489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1113312311071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244466830 + ... + 244471383.

It is an arithmetic number, because the mean of its divisors is an integer number (76274361384).

Almost surely, 21113312311001 is an apocalyptic number.

1113312311001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1113312311001 is a deficient number, since it is larger than the sum of its proper divisors (717272362215).

1113312311001 is a wasteful number, since it uses less digits than its factorization.

1113312311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488938253 (or 488938250 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1113312311001 its reverse (1001132133111), we get a palindrome (2114444444112).

The spelling of 1113312311001 in words is "one trillion, one hundred thirteen billion, three hundred twelve million, three hundred eleven thousand, one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 488938213 1466814639 4400443917 5378320343 11245578899 16134961029 33736736697 48404883087 101210210091 123701367889 371104103667 1113312311001