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1300130033202 = 232711133713114887
BaseRepresentation
bin10010111010110101110…
…010011110111000110010
311121021212022000211020200
4102322311302132320302
5132300131242030302
62433134350420030
7162634301641050
oct22726562367062
94537768024220
101300130033202
11461422567050
1218bb82b01616
13957a9025070
1446cd89571d0
1523c4555d81c
hex12eb5c9ee32

1300130033202 has 384 divisors, whose sum is σ = 3914332950528. Its totient is φ = 300959193600.

The previous prime is 1300130033197. The next prime is 1300130033249. The reversal of 1300130033202 is 2023300310031.

1300130033202 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 300 + 332 + 0 + 2 = 666.

It is a super-4 number, since 4×13001300332024 (a number of 50 digits) contains 4444 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 87325803 + ... + 87340689.

It is an arithmetic number, because the mean of its divisors is an integer number (10193575392).

Almost surely, 21300130033202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300130033202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957166475264).

1300130033202 is an abundant number, since it is smaller than the sum of its proper divisors (2614202917326).

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

1300130033202 is a wasteful number, since it uses less digits than its factorization.

1300130033202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15094 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1300130033202 its reverse (2023300310031), we get a palindrome (3323430343233).

The spelling of 1300130033202 in words is "one trillion, three hundred billion, one hundred thirty million, thirty-three thousand, two hundred two".