Search a number
-
+
10241401113126 = 233593214501291
BaseRepresentation
bin1001010100001000001100…
…0100110100101000100110
31100021001211212000101201000
42111002003010310220212
52320243342141110001
633440500144414130
72104626316062111
oct225020304645046
940231755011630
1010241401113126
113299398a32297
121194a28617346
135939b58a8271
142759878dd578
1512b607db3a86
hex95083134a26

10241401113126 has 32 divisors (see below), whose sum is σ = 23144409302400. Its totient is φ = 3355939346760.

The previous prime is 10241401113113. The next prime is 10241401113127. The reversal of 10241401113126 is 62131110414201.

It is a happy number.

10241401113126 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 401 + 113 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10241401113126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241401113127) 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, 1607247460 + ... + 1607253831.

It is an arithmetic number, because the mean of its divisors is an integer number (723262790700).

Almost surely, 210241401113126 is an apocalyptic number.

10241401113126 is an abundant number, since it is smaller than the sum of its proper divisors (12903008189274).

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

10241401113126 is a wasteful number, since it uses less digits than its factorization.

10241401113126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214501361 (or 3214501355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10241401113126 its reverse (62131110414201), we get a palindrome (72372511527327).

The spelling of 10241401113126 in words is "ten trillion, two hundred forty-one billion, four hundred one million, one hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 3214501291 6429002582 9643503873 19287007746 28930511619 57861023238 86791534857 173583069714 189655576169 379311152338 568966728507 1137933457014 1706900185521 3413800371042 5120700556563 10241401113126