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1303312010000 = 245471113130201
BaseRepresentation
bin10010111101110011011…
…100110000101100010000
311121121002001110222211012
4102331303130300230100
5132323140333310000
62434422215310052
7163106200204250
oct22756334605420
94547061428735
101303312010000
1146280571a340
1219071067b328
1395b95323180
144711b3ad960
1523d7ea9b735
hex12f73730b10

1303312010000 has 400 divisors, whose sum is σ = 4236718915968. Its totient is φ = 374976000000.

The previous prime is 1303312009997. The next prime is 1303312010023. The reversal of 1303312010000 is 102133031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9944900 + ... + 10075100.

Almost surely, 21303312010000 is an apocalyptic number.

1303312010000 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 1303312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118359457984).

1303312010000 is an abundant number, since it is smaller than the sum of its proper divisors (2933406905968).

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

1303312010000 is a wasteful number, since it uses less digits than its factorization.

1303312010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130260 (or 130239 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1303312010000 its reverse (102133031), we get a palindrome (1303414143031).

The spelling of 1303312010000 in words is "one trillion, three hundred three billion, three hundred twelve million, ten thousand".