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1300213031 = 13595633011
BaseRepresentation
bin100110101111111…
…1010110100100111
310100121120122222012
41031133322310213
510130323304111
6333004024435
744135425355
oct11537726447
93317518865
101300213031
11607a33327
1230353211b
131794b0c30
14c49787d5
157923348b
hex4d7fad27

1300213031 has 16 divisors (see below), whose sum is σ = 1426965120. Its totient is φ = 1177367520.

The previous prime is 1300213009. The next prime is 1300213037. The reversal of 1300213031 is 1303120031.

It is a cyclic number.

It is not a de Polignac number, because 1300213031 - 210 = 1300212007 is a prime.

It is a super-2 number, since 2×13002130312 = 3381107851964413922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300212997 and 1300213015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300213037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430316 + ... + 433326.

It is an arithmetic number, because the mean of its divisors is an integer number (89185320).

Almost surely, 21300213031 is an apocalyptic number.

1300213031 is a deficient number, since it is larger than the sum of its proper divisors (126752089).

1300213031 is a wasteful number, since it uses less digits than its factorization.

1300213031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1300213031 is about 36058.4668420608. The cubic root of 1300213031 is about 1091.4524953223.

Adding to 1300213031 its reverse (1303120031), we get a palindrome (2603333062).

The spelling of 1300213031 in words is "one billion, three hundred million, two hundred thirteen thousand, thirty-one".

Divisors: 1 13 59 563 767 3011 7319 33217 39143 177649 431821 1695193 2309437 22037509 100016387 1300213031