Search a number
-
+
10011000000012 = 22311685711060363
BaseRepresentation
bin1001000110101101111000…
…0110010100111000001100
31022110001010210200011002020
42101223132012110320030
52303010012000000022
633142553453130140
72052161624660214
oct221533606247014
938401123604066
1010011000000012
11320a706571920
121158247789950
13578058082b7b
1426876bddd244
151256209d235c
hex91ade194e0c

10011000000012 has 48 divisors (see below), whose sum is σ = 25486264040832. Its totient is φ = 3033193674880.

The previous prime is 10010999999881. The next prime is 10011000000061. The reversal of 10011000000012 is 21000000011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4625058 + ... + 6435305.

It is an arithmetic number, because the mean of its divisors is an integer number (530963834184).

Almost surely, 210011000000012 is an apocalyptic number.

10011000000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011000000012 is an abundant number, since it is smaller than the sum of its proper divisors (15475264040820).

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

10011000000012 is a wasteful number, since it uses less digits than its factorization.

10011000000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067238 (or 11067236 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10011000000012 its reverse (21000000011001), we get a palindrome (31011000011013).

The spelling of 10011000000012 in words is "ten trillion, eleven billion, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 6857 13714 20571 27428 41142 75427 82284 150854 226281 301708 452562 905124 11060363 22120726 33181089 44241452 66362178 121663993 132724356 243327986 364991979 486655972 729983958 1459967916 75840909091 151681818182 227522727273 303363636364 455045454546 834250000001 910090909092 1668500000002 2502750000003 3337000000004 5005500000006 10011000000012