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1300133210310 = 23251147103926893
BaseRepresentation
bin10010111010110101111…
…110100110100011000110
311121021212112000020102100
4102322311332212203012
5132300133100212220
62433134542452530
7162634340642544
oct22726576464306
94537775006370
101300133210310
11461424337060
1218bb83b94146
13957a98981cc
1446cd9142d94
1523c45989d90
hex12eb5fa68c6

1300133210310 has 192 divisors, whose sum is σ = 3769876131840. Its totient is φ = 308169411840.

The previous prime is 1300133210297. The next prime is 1300133210377. The reversal of 1300133210310 is 130123310031.

It is a happy number.

1300133210310 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 3 + 321 + 0 + 310 = 666.

It is a super-2 number, since 2×13001332103102 (a number of 25 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48331224 + ... + 48358116.

It is an arithmetic number, because the mean of its divisors is an integer number (19634771520).

Almost surely, 21300133210310 is an apocalyptic number.

1300133210310 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 1300133210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884938065920).

1300133210310 is an abundant number, since it is smaller than the sum of its proper divisors (2469742921530).

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

1300133210310 is a wasteful number, since it uses less digits than its factorization.

1300133210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003 (or 28000 counting only the distinct ones).

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

Adding to 1300133210310 its reverse (130123310031), we get a palindrome (1430256520341).

The spelling of 1300133210310 in words is "one trillion, three hundred billion, one hundred thirty-three million, two hundred ten thousand, three hundred ten".