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12423072303 = 3417611311129
BaseRepresentation
bin10111001000111100…
…10000101000101111
31012001210012110110000
423210132100220233
5200420301303203
65412421315343
7616566241455
oct134436205057
935053173400
1012423072303
1152a5556104
1224a8565b53
13122c9c3a75
1485bcaa9d5
154ca9904a3
hex2e4790a2f

12423072303 has 80 divisors (see below), whose sum is σ = 20141969760. Its totient is φ = 7601817600.

The previous prime is 12423072247. The next prime is 12423072349. The reversal of 12423072303 is 30327032421.

12423072303 is a `hidden beast` number, since 1 + 2 + 423 + 0 + 7 + 230 + 3 = 666.

12423072303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12423072303 - 28 = 12423072047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423072373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11003043 + ... + 11004171.

It is an arithmetic number, because the mean of its divisors is an integer number (251774622).

Almost surely, 212423072303 is an apocalyptic number.

12423072303 is a deficient number, since it is larger than the sum of its proper divisors (7718897457).

12423072303 is a wasteful number, since it uses less digits than its factorization.

12423072303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 12423072303 in words is "twelve billion, four hundred twenty-three million, seventy-two thousand, three hundred three".

Divisors: 1 3 9 17 27 51 61 81 131 153 183 393 459 549 1037 1129 1179 1377 1647 2227 3111 3387 3537 4941 6681 7991 9333 10161 10611 19193 20043 23973 27999 30483 57579 60129 68869 71919 83997 91449 135847 147899 172737 180387 206607 215757 407541 443697 518211 619821 647271 1170773 1222623 1331091 1554633 1859463 2514283 3512319 3667869 3993273 5578389 7542849 9021839 10536957 11003607 11979819 22628547 27065517 31610871 67885641 81196551 94832613 153371263 203656923 243589653 460113789 730768959 1380341367 4141024101 12423072303