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11201123032 = 2311538292897
BaseRepresentation
bin10100110111010001…
…11001001011011000
31001220121220000011121
422123220321023120
5140414441414112
65051250535024
7544400655241
oct123350711330
931817800147
1011201123032
114828818580
122207297474
1310967b5b68
147838a5cc8
1545856b407
hex29ba392d8

11201123032 has 64 divisors (see below), whose sum is σ = 23379904800. Its totient is φ = 4987607040.

The previous prime is 11201123023. The next prime is 11201123099. The reversal of 11201123032 is 23032110211.

11201123032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11201122997 and 11201123015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3865008 + ... + 3867904.

Almost surely, 211201123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689952400).

11201123032 is an abundant number, since it is smaller than the sum of its proper divisors (12178781768).

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

11201123032 is a wasteful number, since it uses less digits than its factorization.

11201123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11201123032 its reverse (23032110211), we get a palindrome (34233233243).

The spelling of 11201123032 in words is "eleven billion, two hundred one million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 829 1166 1658 2332 2897 3316 4664 5794 6632 9119 11588 18238 23176 31867 36476 43937 63734 72952 87874 127468 153541 175748 254936 307082 351496 483307 614164 966614 1228328 1688951 1933228 2401613 3377902 3866456 4803226 6755804 9606452 13511608 19212904 26417743 52835486 105670972 127285489 211341944 254570978 509141956 1018283912 1400140379 2800280758 5600561516 11201123032