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2011300044 = 2231323975779
BaseRepresentation
bin111011111100010…
…0000000011001100
312012011121121222020
41313320200003030
513104343100134
6531325050140
7100561524345
oct16770400314
95164547866
102011300044
11942365546
124816b6950
13260902890
1415119b0cc
15bb895b49
hex77e200cc

2011300044 has 96 divisors (see below), whose sum is σ = 5329067520. Its totient is φ = 585750528.

The previous prime is 2011300019. The next prime is 2011300061. The reversal of 2011300044 is 4400031102.

It is a junction number, because it is equal to n+sod(n) for n = 2011299996 and 2011300032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345147 + ... + 350925.

It is an arithmetic number, because the mean of its divisors is an integer number (55511120).

Almost surely, 22011300044 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 2011300044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664533760).

2011300044 is an abundant number, since it is smaller than the sum of its proper divisors (3317767476).

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

2011300044 is a wasteful number, since it uses less digits than its factorization.

2011300044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2011300044 is about 44847.5199314299. The cubic root of 2011300044 is about 1262.2894555150.

Adding to 2011300044 its reverse (4400031102), we get a palindrome (6411331146).

The spelling of 2011300044 in words is "two billion, eleven million, three hundred thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 97 138 156 194 276 291 299 388 582 598 897 1164 1196 1261 1794 2231 2522 3588 3783 4462 5044 5779 6693 7566 8924 11558 13386 15132 17337 23116 26772 29003 34674 58006 69348 75127 87009 116012 132917 150254 174018 225381 265834 300508 348036 398751 450762 531668 560563 797502 901524 1121126 1595004 1681689 1727921 2242252 3363378 3455842 5183763 6726756 6911684 7287319 10367526 12892949 14574638 20735052 21861957 25785898 29149276 38678847 43723914 51571796 77357694 87447828 154715388 167608337 335216674 502825011 670433348 1005650022 2011300044