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1233013012 = 2271137257421
BaseRepresentation
bin100100101111110…
…0100100100010100
310011221010112212121
41021133210210110
510011122404022
6322203425324
742361303060
oct11137444424
93157115777
101233013012
11583004a20
122a4b25244
131685b29ca
14b9a84aa0
15733ac2c7
hex497e4914

1233013012 has 96 divisors (see below), whose sum is σ = 2780257536. Its totient is φ = 464486400.

The previous prime is 1233012971. The next prime is 1233013013. The reversal of 1233013012 is 2103103321.

It is a super-2 number, since 2×12330130122 = 3040642175522624288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233013013) 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, 2928562 + ... + 2928982.

It is an arithmetic number, because the mean of its divisors is an integer number (28961016).

Almost surely, 21233013012 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 1233013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390128768).

1233013012 is an abundant number, since it is smaller than the sum of its proper divisors (1547244524).

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

1233013012 is a wasteful number, since it uses less digits than its factorization.

1233013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1233013012 is about 35114.2850133674. The cubic root of 1233013012 is about 1072.3154249738.

Adding to 1233013012 its reverse (2103103321), we get a palindrome (3336116333).

The spelling of 1233013012 in words is "one billion, two hundred thirty-three million, thirteen thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 257 259 308 407 421 514 518 814 842 1028 1036 1628 1684 1799 2827 2849 2947 3598 4631 5654 5698 5894 7196 9262 9509 11308 11396 11788 15577 18524 19018 19789 31154 32417 38036 39578 62308 64834 66563 79156 104599 108197 109039 129668 133126 171347 209198 216394 218078 266252 342694 418396 432788 436156 685388 732193 757379 1190167 1199429 1464386 1514758 2380334 2398858 2928772 3029516 4003289 4760668 4797716 8006578 8331169 16013156 16662338 28023023 33324676 44036179 56046046 88072358 112092092 176144716 308253253 616506506 1233013012