Search a number
-
+
10300321310310 = 23252310190754319
BaseRepresentation
bin1001010111100011101011…
…1111100010011001100110
31100110200221002202112110100
42111320322333202121212
52322230024223412220
633523522521004530
72112113364353463
oct225707277423146
940420832675410
1010300321310310
11331138393a529
1211a4330923746
13599415706875
14278776bd066a
1512ce0591ed90
hex95e3afe2666

10300321310310 has 192 divisors, whose sum is σ = 28253540689920. Its totient is φ = 2598399302400.

The previous prime is 10300321310297. The next prime is 10300321310329. The reversal of 10300321310310 is 1301312300301.

It is a happy number.

10300321310310 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 321 + 31 + 0 + 310 = 666.

It is a super-2 number, since 2×103003213103102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189599331 + ... + 189653649.

It is an arithmetic number, because the mean of its divisors is an integer number (147153857760).

Almost surely, 210300321310310 is an apocalyptic number.

10300321310310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300321310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126770344960).

10300321310310 is an abundant number, since it is smaller than the sum of its proper divisors (17953219379610).

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

10300321310310 is a wasteful number, since it uses less digits than its factorization.

10300321310310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55363 (or 55360 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10300321310310 its reverse (1301312300301), we get a palindrome (11601633610611).

The spelling of 10300321310310 in words is "ten trillion, three hundred billion, three hundred twenty-one million, three hundred ten thousand, three hundred ten".