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1300133653 = 71319751957
BaseRepresentation
bin100110101111110…
…0111011100010101
310100121102122002021
41031133213130111
510130313234103
6333002213141
744134645060
oct11537473425
93317378067
101300133653
11607989725
123034b41b1
13179483a70
14c49578d7
1579219bbd
hex4d7e7715

1300133653 has 16 divisors (see below), whose sum is σ = 1684385920. Its totient is φ = 974534976.

The previous prime is 1300133623. The next prime is 1300133669. The reversal of 1300133653 is 3563310031.

It is a cyclic number.

It is not a de Polignac number, because 1300133653 - 225 = 1266579221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300133623) 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, 374250 + ... + 377707.

It is an arithmetic number, because the mean of its divisors is an integer number (105274120).

Almost surely, 21300133653 is an apocalyptic number.

1300133653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300133653 is a deficient number, since it is larger than the sum of its proper divisors (384252267).

1300133653 is a wasteful number, since it uses less digits than its factorization.

1300133653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751996.

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 1300133653 is about 36057.3661406376. The cubic root of 1300133653 is about 1091.4302838135.

Adding to 1300133653 its reverse (3563310031), we get a palindrome (4863443684).

The spelling of 1300133653 in words is "one billion, three hundred million, one hundred thirty-three thousand, six hundred fifty-three".

Divisors: 1 7 13 19 91 133 247 1729 751957 5263699 9775441 14287183 68428087 100010281 185733379 1300133653