Search a number
-
+
1302002002000 = 24537792235279
BaseRepresentation
bin10010111100100101010…
…111011110100001010000
311121110200202110200200101
4102330211113132201100
5132313000003031000
62434044221302144
7163031552262040
oct22744527364120
94543622420611
101302002002000
114621a32069a7
12190405a04954
1395a16ac2acb
1447035405720
1523d04a80e6a
hex12f255de850

1302002002000 has 320 divisors, whose sum is σ = 3660565708800. Its totient is φ = 438690470400.

The previous prime is 1302002001991. The next prime is 1302002002013. The reversal of 1302002002000 is 2002002031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246635361 + ... + 246640639.

It is an arithmetic number, because the mean of its divisors is an integer number (11439267840).

Almost surely, 21302002002000 is an apocalyptic number.

1302002002000 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 1302002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830282854400).

1302002002000 is an abundant number, since it is smaller than the sum of its proper divisors (2358563706800).

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

1302002002000 is a wasteful number, since it uses less digits than its factorization.

1302002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1302002002000 its reverse (2002002031), we get a palindrome (1304004004031).

The spelling of 1302002002000 in words is "one trillion, three hundred two billion, two million, two thousand".