Search a number
-
+
10242245350311 = 313631741573797
BaseRepresentation
bin1001010100001011010101…
…1001010101001110100111
31100021011000200121002101220
42111002311121111032213
52320302104302202221
633441120023351423
72104656250012032
oct225026531251647
940234020532356
1010242245350311
113299791538177
1211950232b2573
13593abb7794b0
14275a27aa2019
1512b6570780c6
hex950b56553a7

10242245350311 has 16 divisors (see below), whose sum is σ = 14709142322784. Its totient is φ = 6301922292864.

The previous prime is 10242245350301. The next prime is 10242245350349. The reversal of 10242245350311 is 11305354224201.

10242245350311 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 10242245350311 - 211 = 10242245348263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242245350301) 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, 20540536 + ... + 21033261.

It is an arithmetic number, because the mean of its divisors is an integer number (919321395174).

Almost surely, 210242245350311 is an apocalyptic number.

10242245350311 is a deficient number, since it is larger than the sum of its proper divisors (4466896972473).

10242245350311 is a wasteful number, since it uses less digits than its factorization.

10242245350311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41580130.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 10242245350311 its reverse (11305354224201), we get a palindrome (21547599574512).

The spelling of 10242245350311 in words is "ten trillion, two hundred forty-two billion, two hundred forty-five million, three hundred fifty thousand, three hundred eleven".

Divisors: 1 3 13 39 6317 18951 82121 246363 41573797 124721391 540459361 1621378083 262621675649 787865026947 3414081783437 10242245350311