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10301316145120 = 25571113620310369
BaseRepresentation
bin1001010111100111011001…
…0010100001111111100000
31100110210111102201101021001
42111321312102201333200
52322234043413120440
633524205335441344
72112150134332510
oct225716622417740
940423442641231
1010301316145120
113311844455660
1211a4569b26254
13599543855a10
1427882cd95840
1512ce62e30b9a
hex95e764a1fe0

10301316145120 has 384 divisors, whose sum is σ = 32684482575360. Its totient is φ = 2963051642880.

The previous prime is 10301316145061. The next prime is 10301316145123. The reversal of 10301316145120 is 2154161310301.

It is a super-2 number, since 2×103013161451202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301316145123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993467296 + ... + 993477664.

It is an arithmetic number, because the mean of its divisors is an integer number (85115840040).

Almost surely, 210301316145120 is an apocalyptic number.

10301316145120 is a gapful number since it is divisible by the number (10) 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 10301316145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342241287680).

10301316145120 is an abundant number, since it is smaller than the sum of its proper divisors (22383166430240).

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

10301316145120 is a wasteful number, since it uses less digits than its factorization.

10301316145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 10301316145120 its reverse (2154161310301), we get a palindrome (12455477455421).

The spelling of 10301316145120 in words is "ten trillion, three hundred one billion, three hundred sixteen million, one hundred forty-five thousand, one hundred twenty".