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1123121032 = 231122814129
BaseRepresentation
bin100001011110001…
…0111011110001000
32220021100110102021
41002330113132020
54300004333112
6303240214224
736555241225
oct10274273610
92807313367
101123121032
11526a77500
1227416a374
1314b8b7877
14a923a94c
1568901907
hex42f17788

1123121032 has 48 divisors (see below), whose sum is σ = 2323496700. Its totient is φ = 508569600.

The previous prime is 1123121011. The next prime is 1123121063. The reversal of 1123121032 is 2301213211.

It can be written as a sum of positive squares in 2 ways, for example, as 1107957796 + 15163236 = 33286^2 + 3894^2 .

It is a super-2 number, since 2×11231210322 = 2522801705041490048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123120997 and 1123121015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269944 + ... + 274072.

Almost surely, 21123121032 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 1123121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161748350).

1123121032 is an abundant number, since it is smaller than the sum of its proper divisors (1200375668).

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

1123121032 is a wasteful number, since it uses less digits than its factorization.

1123121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4423 counting only the distinct ones).

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

The square root of 1123121032 is about 33512.9979560170. The cubic root of 1123121032 is about 1039.4625650227.

Adding to 1123121032 its reverse (2301213211), we get a palindrome (3424334243).

The spelling of 1123121032 in words is "one billion, one hundred twenty-three million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 281 484 562 968 1124 2248 3091 4129 6182 8258 12364 16516 24728 33032 34001 45419 68002 90838 136004 181676 272008 363352 499609 999218 1160249 1998436 2320498 3996872 4640996 9281992 12762739 25525478 51050956 102101912 140390129 280780258 561560516 1123121032