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1145123112 = 233741832003
BaseRepresentation
bin100010001000001…
…0011000100101000
32221210202021121010
41010100103010220
54321122414422
6305343543520
740243246230
oct10420230450
92853667533
101145123112
11538434a41
1227b5baba0
1315331c353
14ac126cc0
156a7eab0c
hex44413128

1145123112 has 128 divisors (see below), whose sum is σ = 3393653760. Its totient is φ = 315194880.

The previous prime is 1145123099. The next prime is 1145123113. The reversal of 1145123112 is 2113215411.

It is a super-2 number, since 2×11451231122 = 2622613883273129088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1145123113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570703 + ... + 572705.

It is an arithmetic number, because the mean of its divisors is an integer number (26512920).

Almost surely, 21145123112 is an apocalyptic number.

1145123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696826880).

1145123112 is an abundant number, since it is smaller than the sum of its proper divisors (2248530648).

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

1145123112 is a wasteful number, since it uses less digits than its factorization.

1145123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 1145123112 is about 33839.6677288652. The cubic root of 1145123112 is about 1046.2064504568.

Adding to 1145123112 its reverse (2113215411), we get a palindrome (3258338523).

The spelling of 1145123112 in words is "one billion, one hundred forty-five million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 83 84 123 164 166 168 246 249 287 328 332 492 498 574 581 664 861 984 996 1148 1162 1722 1743 1992 2003 2296 2324 3403 3444 3486 4006 4648 6009 6806 6888 6972 8012 10209 12018 13612 13944 14021 16024 20418 23821 24036 27224 28042 40836 42063 47642 48072 56084 71463 81672 82123 84126 95284 112168 142926 164246 166249 168252 190568 246369 285852 328492 332498 336504 492738 498747 571704 574861 656984 664996 985476 997494 1149722 1163743 1329992 1724583 1970952 1994988 2299444 2327486 3449166 3491229 3989976 4598888 4654972 6816209 6898332 6982458 9309944 13632418 13796664 13964916 20448627 27264836 27929832 40897254 47713463 54529672 81794508 95426926 143140389 163589016 190853852 286280778 381707704 572561556 1145123112