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131023214352 = 24328346323677
BaseRepresentation
bin111101000000110010…
…1111001011100010000
3110112012020021220211200
41322001211321130100
54121313420324402
6140105150111200
712315606642402
oct1720145713420
9415166256750
10131023214352
1150626209228
12214874ab500
13c480b7c204
1464ad33ab72
15361cacd21c
hex1e81979710

131023214352 has 120 divisors (see below), whose sum is σ = 371918112384. Its totient is φ = 43053196032.

The previous prime is 131023214291. The next prime is 131023214359. The reversal of 131023214352 is 253412320131.

131023214352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131023214359) 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 23 ways as a sum of consecutive naturals, for example, 5521938 + ... + 5545614.

Almost surely, 2131023214352 is an apocalyptic number.

131023214352 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 131023214352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185959056192).

131023214352 is an abundant number, since it is smaller than the sum of its proper divisors (240894898032).

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

131023214352 is a wasteful number, since it uses less digits than its factorization.

131023214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131023214352 its reverse (253412320131), we get a palindrome (384435534483).

The spelling of 131023214352 in words is "one hundred thirty-one billion, twenty-three million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 463 498 664 747 926 996 1328 1389 1494 1852 1992 2778 2988 3704 3984 4167 5556 5976 7408 8334 11112 11952 16668 22224 23677 33336 38429 47354 66672 71031 76858 94708 115287 142062 153716 189416 213093 230574 284124 307432 345861 378832 426186 461148 568248 614864 691722 852372 922296 1136496 1383444 1704744 1844592 1965191 2766888 3409488 3930382 5533776 5895573 7860764 10962451 11791146 15721528 17686719 21924902 23582292 31443056 32887353 35373438 43849804 47164584 65774706 70746876 87699608 94329168 98662059 131549412 141493752 175399216 197324118 263098824 282987504 394648236 526197648 789296472 909883433 1578592944 1819766866 2729650299 3639533732 5459300598 7279067464 8188950897 10918601196 14558134928 16377901794 21837202392 32755803588 43674404784 65511607176 131023214352