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1300131021 = 37591049339
BaseRepresentation
bin100110101111110…
…0110110011001101
310100121102111110210
41031133212303031
510130313143041
6333002153033
744134634310
oct11537466315
93317374423
101300131021
11607987752
123034b2779
131794827c7
14c4956977
1579219016
hex4d7e6ccd

1300131021 has 16 divisors (see below), whose sum is σ = 2014732800. Its totient is φ = 730339248.

The previous prime is 1300131017. The next prime is 1300131023. The reversal of 1300131021 is 1201310031.

It is not a de Polignac number, because 1300131021 - 22 = 1300131017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300130988 and 1300131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523431 + ... + 525908.

It is an arithmetic number, because the mean of its divisors is an integer number (125920800).

Almost surely, 21300131021 is an apocalyptic number.

It is an amenable number.

1300131021 is a deficient number, since it is larger than the sum of its proper divisors (714601779).

1300131021 is a wasteful number, since it uses less digits than its factorization.

1300131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049408.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1300131021 is about 36057.3296432223. The cubic root of 1300131021 is about 1091.4295473132.

Adding to 1300131021 its reverse (1201310031), we get a palindrome (2501441052).

The spelling of 1300131021 in words is "one billion, three hundred million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 7 21 59 177 413 1239 1049339 3148017 7345373 22036119 61911001 185733003 433377007 1300131021