Search a number
-
+
10424331312 = 2433157112269
BaseRepresentation
bin10011011010101011…
…01010110000110000
3222220111012220020220
421231111222300300
5132322112100222
64442221333040
7516216232323
oct115525526060
928814186226
1010424331312
11446a29944a
12202b107180
13ca189a7a5
1470c65c7ba
1541027ab5c
hex26d56ac30

10424331312 has 80 divisors (see below), whose sum is σ = 27849169920. Its totient is φ = 3356524800.

The previous prime is 10424331293. The next prime is 10424331317. The reversal of 10424331312 is 21313342401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10424331317) 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, 843514 + ... + 855782.

It is an arithmetic number, because the mean of its divisors is an integer number (348114624).

Almost surely, 210424331312 is an apocalyptic number.

10424331312 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 10424331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924584960).

10424331312 is an abundant number, since it is smaller than the sum of its proper divisors (17424838608).

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

10424331312 is a wasteful number, since it uses less digits than its factorization.

10424331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10424331312 its reverse (21313342401), we get a palindrome (31737673713).

The spelling of 10424331312 in words is "ten billion, four hundred twenty-four million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 571 744 1142 1488 1713 2284 3426 4568 6852 9136 12269 13704 17701 24538 27408 35402 36807 49076 53103 70804 73614 98152 106206 141608 147228 196304 212412 283216 294456 380339 424824 588912 760678 849648 1141017 1521356 2282034 3042712 4564068 6085424 7005599 9128136 14011198 18256272 21016797 28022396 42033594 56044792 84067188 112089584 168134376 217173569 336268752 434347138 651520707 868694276 1303041414 1737388552 2606082828 3474777104 5212165656 10424331312