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1113012032 = 261117113823
BaseRepresentation
bin100001001010111…
…0011011101000000
32212120022212110212
41002111303131000
54234412341112
6302235413252
736403306016
oct10225633500
92776285425
101113012032
115212a2460
122708b4228
13149788502
14a7b688b6
1567aa6522
hex42573740

1113012032 has 112 divisors (see below), whose sum is σ = 2576852352. Its totient is φ = 471367680.

The previous prime is 1113012013. The next prime is 1113012041. The reversal of 1113012032 is 2302103111.

It is a junction number, because it is equal to n+sod(n) for n = 1113011998 and 1113012016.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1351973 + ... + 1352795.

Almost surely, 21113012032 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 1113012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288426176).

1113012032 is an abundant number, since it is smaller than the sum of its proper divisors (1463840320).

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

1113012032 is a wasteful number, since it uses less digits than its factorization.

1113012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1113012032 is about 33361.8349615245. The cubic root of 1113012032 is about 1036.3344924492.

Adding to 1113012032 its reverse (2302103111), we get a palindrome (3415115143).

The spelling of 1113012032 in words is "one billion, one hundred thirteen million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 113 136 176 187 226 272 352 374 452 544 704 748 823 904 1088 1243 1496 1646 1808 1921 2486 2992 3292 3616 3842 4972 5984 6584 7232 7684 9053 9944 11968 13168 13991 15368 18106 19888 21131 26336 27982 30736 36212 39776 42262 52672 55964 61472 72424 79552 84524 92999 111928 122944 144848 153901 169048 185998 223856 289696 307802 338096 371996 447712 579392 615604 676192 743992 895424 1022989 1231208 1352384 1487984 1580983 2045978 2462416 2975968 3161966 4091956 4924832 5951936 6323932 8183912 9849664 12647864 16367824 17390813 25295728 32735648 34781626 50591456 65471296 69563252 101182912 139126504 278253008 556506016 1113012032