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1231303752 = 233272421829
BaseRepresentation
bin100100101100100…
…0011010001001000
310011210220201012200
41021121003101020
510010203210002
6322103040200
742340623600
oct11131032110
93153821180
101231303752
11582047808
122a4440060
13168134a03
14b975bc00
1573170b1c
hex49643448

1231303752 has 144 divisors (see below), whose sum is σ = 3893139900. Its totient is φ = 350542080.

The previous prime is 1231303751. The next prime is 1231303769. The reversal of 1231303752 is 2573031321.

It can be written as a sum of positive squares in 2 ways, for example, as 1109289636 + 122014116 = 33306^2 + 11046^2 .

It is a super-2 number, since 2×12313037522 = 3032217859378555008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1231303751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1484874 + ... + 1485702.

Almost surely, 21231303752 is an apocalyptic number.

1231303752 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 1231303752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946569950).

1231303752 is an abundant number, since it is smaller than the sum of its proper divisors (2661836148).

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

1231303752 is a wasteful number, since it uses less digits than its factorization.

1231303752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1231303752 is about 35089.9380449724. The cubic root of 1231303752 is about 1071.8196979937.

The spelling of 1231303752 in words is "one billion, two hundred thirty-one million, three hundred three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 421 441 504 588 829 842 882 1176 1263 1658 1684 1764 2487 2526 2947 3316 3368 3528 3789 4974 5052 5803 5894 6632 7461 7578 8841 9948 10104 11606 11788 14922 15156 17409 17682 19896 20629 23212 23576 26523 29844 30312 34818 35364 40621 41258 46424 52227 53046 59688 61887 69636 70728 81242 82516 104454 106092 121863 123774 139272 162484 165032 185661 208908 212184 243726 247548 324968 349009 365589 371322 417816 487452 495096 698018 731178 742644 974904 1047027 1396036 1462356 1485288 2094054 2443063 2792072 2924712 3141081 4188108 4886126 6282162 7329189 8376216 9772252 12564324 14658378 17101441 19544504 21987567 25128648 29316756 34202882 43975134 51304323 58633512 68405764 87950268 102608646 136811528 153912969 175900536 205217292 307825938 410434584 615651876 1231303752