Search a number
-
+
12403313232 = 2435923318797
BaseRepresentation
bin10111000110100101…
…11000101001010000
31012000102000121002120
423203102320221100
5200400222010412
65410434014240
7616236265032
oct134322705120
935012017076
1012403313232
11529538a8a2
1224a1a17380
1312288961cb
14859405c52
154c8d8ab8c
hex2e34b8a50

12403313232 has 80 divisors (see below), whose sum is σ = 32726566080. Its totient is φ = 4046703616.

The previous prime is 12403313231. The next prime is 12403313233. The reversal of 12403313232 is 23231330421.

It is an interprime number because it is at equal distance from previous prime (12403313231) and next prime (12403313233).

It is a super-2 number, since 2×124033132322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403313231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650458 + ... + 669254.

It is an arithmetic number, because the mean of its divisors is an integer number (409082076).

Almost surely, 212403313232 is an apocalyptic number.

12403313232 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 12403313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363283040).

12403313232 is an abundant number, since it is smaller than the sum of its proper divisors (20323252848).

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

12403313232 is a wasteful number, since it uses less digits than its factorization.

12403313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19094 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12403313232 its reverse (23231330421), we get a palindrome (35634643653).

The spelling of 12403313232 in words is "twelve billion, four hundred three million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 233 236 354 466 472 699 708 932 944 1398 1416 1864 2796 2832 3728 5592 11184 13747 18797 27494 37594 41241 54988 56391 75188 82482 109976 112782 150376 164964 219952 225564 300752 329928 451128 659856 902256 1109023 2218046 3327069 4379701 4436092 6654138 8759402 8872184 13139103 13308276 17518804 17744368 26278206 26616552 35037608 52556412 53233104 70075216 105112824 210225648 258402359 516804718 775207077 1033609436 1550414154 2067218872 3100828308 4134437744 6201656616 12403313232