Search a number
-
+
1310000332344 = 233114322683679
BaseRepresentation
bin10011000100000010000…
…110101011111000111000
311122020100011201222020120
4103010002012223320320
5132430340041113334
62441450021253240
7163434013046304
oct23040206537070
94566304658216
101310000332344
11465628043970
12191a78564220
13966bcb9cc62
1447593796d04
1524121d4b949
hex131021abe38

1310000332344 has 96 divisors (see below), whose sum is σ = 3657748492800. Its totient is φ = 387737797440.

The previous prime is 1310000332339. The next prime is 1310000332351. The reversal of 1310000332344 is 4432330000131.

It is a super-2 number, since 2×13100003323442 (a number of 25 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 853704 + ... + 1829975.

It is an arithmetic number, because the mean of its divisors is an integer number (38101546800).

Almost surely, 21310000332344 is an apocalyptic number.

It is an amenable number.

1310000332344 is an abundant number, since it is smaller than the sum of its proper divisors (2347748160456).

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

1310000332344 is a wasteful number, since it uses less digits than its factorization.

1310000332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683785 (or 2683738 counting only the distinct ones).

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

Adding to 1310000332344 its reverse (4432330000131), we get a palindrome (5742330332475).

The spelling of 1310000332344 in words is "one trillion, three hundred ten billion, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1849 1892 2838 3698 3784 5547 5676 7396 11094 11352 14792 20339 22188 40678 44376 61017 81356 122034 162712 244068 488136 2683679 5367358 8051037 10734716 16102074 21469432 29520469 32204148 59040938 64408296 88561407 115398197 118081876 177122814 230796394 236163752 346194591 354245628 461592788 692389182 708491256 923185576 1269380167 1384778364 2538760334 2769556728 3808140501 4962122471 5077520668 7616281002 9924244942 10155041336 14886367413 15232562004 19848489884 29772734826 30465124008 39696979768 54583347181 59545469652 109166694362 119090939304 163750041543 218333388724 327500083086 436666777448 655000166172 1310000332344