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1113319944 = 2333111393371
BaseRepresentation
bin100001001011011…
…1110101000001000
32212120220111212000
41002112332220020
54240002214234
6302250151000
736406030512
oct10226765010
92776814760
101113319944
11521492830
12270a22460
131498656c9
14a7c08bb2
1567b17899
hex425bea08

1113319944 has 128 divisors (see below), whose sum is σ = 3398976000. Its totient is φ = 334843200.

The previous prime is 1113319931. The next prime is 1113320041. The reversal of 1113319944 is 4499133111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113319899 and 1113319908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328579 + ... + 331949.

It is an arithmetic number, because the mean of its divisors is an integer number (26554500).

Almost surely, 21113319944 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 1113319944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699488000).

1113319944 is an abundant number, since it is smaller than the sum of its proper divisors (2285656056).

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

1113319944 is a wasteful number, since it uses less digits than its factorization.

1113319944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3526 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1113319944 is about 33366.4493765819. The cubic root of 1113319944 is about 1036.4300500879.

The spelling of 1113319944 in words is "one billion, one hundred thirteen million, three hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 139 198 216 264 278 297 396 417 556 594 792 834 1112 1188 1251 1529 1668 2376 2502 3058 3336 3371 3753 4587 5004 6116 6742 7506 9174 10008 10113 12232 13484 13761 15012 18348 20226 26968 27522 30024 30339 36696 37081 40452 41283 55044 60678 74162 80904 82566 91017 110088 111243 121356 148324 165132 182034 222486 242712 296648 330264 333729 364068 444972 468569 667458 728136 889944 937138 1001187 1334916 1405707 1874276 2002374 2669832 2811414 3748552 4004748 4217121 5154259 5622828 8009496 8434242 10308518 11245656 12651363 15462777 16868484 20617036 25302726 30925554 33736968 41234072 46388331 50605452 61851108 92776662 101210904 123702216 139164993 185553324 278329986 371106648 556659972 1113319944