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1123231122 = 2321323143277
BaseRepresentation
bin100001011110011…
…0010010110010010
32220021120001102200
41002330302112102
54300021343442
6303242424030
736556210206
oct10274622622
92807501380
101123231122
11527042192
12274202016
1314b925a00
14a9268b06
156892434c
hex42f32592

1123231122 has 144 divisors (see below), whose sum is σ = 2793593088. Its totient is φ = 325503360.

The previous prime is 1123231117. The next prime is 1123231129. The reversal of 1123231122 is 2211323211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 1123231095 and 1123231104.

It is not an unprimeable number, because it can be changed into a prime (1123231129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4054848 + ... + 4055124.

It is an arithmetic number, because the mean of its divisors is an integer number (19399952).

Almost surely, 21123231122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396796544).

1123231122 is an abundant number, since it is smaller than the sum of its proper divisors (1670361966).

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

1123231122 is a wasteful number, since it uses less digits than its factorization.

1123231122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1123231122 is about 33514.6404128106. The cubic root of 1123231122 is about 1039.4965271372.

Adding to 1123231122 its reverse (2211323211), we get a palindrome (3334554333).

The spelling of 1123231122 in words is "one billion, one hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 43 62 78 86 93 117 129 169 186 234 258 277 279 338 387 403 507 554 558 559 774 806 831 1014 1118 1209 1333 1521 1662 1677 2418 2493 2666 3042 3354 3601 3627 3999 4986 5031 5239 7202 7254 7267 7998 8587 10062 10478 10803 11911 11997 14534 15717 17174 17329 21606 21801 23822 23994 25761 31434 32409 34658 35733 43602 46813 47151 51522 51987 64818 65403 71466 77283 93626 94302 103974 107199 111631 130806 140439 154566 154843 155961 214398 223262 225277 280878 309686 311922 334893 369241 421317 450554 464529 669786 675831 738482 842634 929058 1004679 1107723 1351662 1393587 1451203 2009358 2012959 2027493 2215446 2787174 2902406 3323169 4025918 4054986 4353609 4800133 6038877 6646338 8707218 9600266 12077754 13060827 14400399 18116631 26121654 28800798 36233262 43201197 62401729 86402394 124803458 187205187 374410374 561615561 1123231122