Search a number
-
+
10255314102000 = 2435311214125777
BaseRepresentation
bin1001010100111100000001…
…0110101010011011110000
31100022101202110202110110020
42111033000112222123300
52321010340402231000
633451120512203440
72105631146403642
oct225170026523360
940271673673406
1010255314102000
1132a4288500800
12119766bb39580
135950c2170766
14276507606892
1512bb6e55aba0
hex953c05aa6f0

10255314102000 has 240 divisors, whose sum is σ = 36342123601056. Its totient is φ = 2486136576000.

The previous prime is 10255314101969. The next prime is 10255314102031. The reversal of 10255314102000 is 20141355201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10255314101969) and next prime (10255314102031).

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6336889 + ... + 7788888.

Almost surely, 210255314102000 is an apocalyptic number.

10255314102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10255314102000 is an abundant number, since it is smaller than the sum of its proper divisors (26086809499056).

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

10255314102000 is a wasteful number, since it uses less digits than its factorization.

10255314102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14125825 (or 14125798 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10255314102000 its reverse (20141355201), we get a palindrome (10275455457201).

The spelling of 10255314102000 in words is "ten trillion, two hundred fifty-five billion, three hundred fourteen million, one hundred two thousand".