Search a number
-
+
10251016860345 = 3517487234735171
BaseRepresentation
bin1001010100101100000000…
…1101111111001010111001
31100021222122222201222002220
42111023000031333022321
52320423040304012340
633445130243314253
72105416516426422
oct225130015771271
940258588658086
1010251016860345
1132a2482857518
12119687097b989
13594888aa8911
1427621a9da649
1512b9bc16ded0
hex952c037f2b9

10251016860345 has 64 divisors (see below), whose sum is σ = 17409998186496. Its totient is φ = 5132708674560.

The previous prime is 10251016860283. The next prime is 10251016860389. The reversal of 10251016860345 is 54306861015201.

10251016860345 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 10251016860345 - 214 = 10251016843961 is a prime.

It is a super-2 number, since 2×102510168603452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10251016860297 and 10251016860306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291444610 + ... + 291479780.

It is an arithmetic number, because the mean of its divisors is an integer number (272031221664).

Almost surely, 210251016860345 is an apocalyptic number.

10251016860345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10251016860345 is a deficient number, since it is larger than the sum of its proper divisors (7158981326151).

10251016860345 is a wasteful number, since it uses less digits than its factorization.

10251016860345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38030.

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 10251016860345 its reverse (54306861015201), we get a palindrome (64557877875546).

The spelling of 10251016860345 in words is "ten trillion, two hundred fifty-one billion, sixteen million, eight hundred sixty thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 51 85 255 487 1461 2347 2435 7041 7305 8279 11735 24837 35171 35205 39899 41395 105513 119697 124185 175855 199495 527565 597907 598485 1142989 1793721 2989535 3428967 5714945 8968605 17128277 17144835 19430813 51384831 58292439 82546337 85641385 97154065 247639011 256924155 291180709 291462195 412731685 873542127 1238195055 1403287729 1455903545 4209863187 4367710635 7016438645 21049315935 40200066119 120600198357 201000330595 603000991785 683401124023 2050203372069 3417005620115 10251016860345