Search a number
-
+
11200011122112 = 263280012083261
BaseRepresentation
bin1010001011111011010010…
…1011110011010111000000
31110122201012000212102110220
42202332310223303113000
52432000110321401422
635453114124023040
72234113500522321
oct242766453632700
943581160772426
1011200011122112
11362899732733a
12130a779091a80
13633205b38757
142aa124d10448
15146510ac8e5c
hexa2fb4af35c0

11200011122112 has 56 divisors (see below), whose sum is σ = 29634435282192. Its totient is φ = 3733201920000.

The previous prime is 11200011122099. The next prime is 11200011122141. The reversal of 11200011122112 is 21122111000211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11200011122091 and 11200011122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4334562 + ... + 6417822.

Almost surely, 211200011122112 is an apocalyptic number.

11200011122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200011122112 is an abundant number, since it is smaller than the sum of its proper divisors (18434424160080).

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

11200011122112 is a wasteful number, since it uses less digits than its factorization.

11200011122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111277 (or 2111267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11200011122112 its reverse (21122111000211), we get a palindrome (32322122122323).

The spelling of 11200011122112 in words is "eleven trillion, two hundred billion, eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 28001 56002 84003 112004 168006 224008 336012 448016 672024 896032 1344048 1792064 2083261 2688096 4166522 5376192 6249783 8333044 12499566 16666088 24999132 33332176 49998264 66664352 99996528 133328704 199993056 399986112 58333391261 116666782522 175000173783 233333565044 350000347566 466667130088 700000695132 933334260176 1400001390264 1866668520352 2800002780528 3733337040704 5600005561056 11200011122112