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13002021 = 321638863
BaseRepresentation
bin110001100110…
…010100100101
3220110120102100
4301212110211
511312031041
61142402313
7215341524
oct61462445
926416370
1013002021
11738067a
124430399
132903106
141a264bb
15121c6b6
hexc66525

13002021 has 12 divisors (see below), whose sum is σ = 18898048. Its totient is φ = 8613864.

The previous prime is 13002019. The next prime is 13002029. The reversal of 13002021 is 12020031.

It is a happy number.

It is not a de Polignac number, because 13002021 - 21 = 13002019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001994 and 13002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2965 + ... + 5898.

Almost surely, 213002021 is an apocalyptic number.

It is an amenable number.

13002021 is a deficient number, since it is larger than the sum of its proper divisors (5896027).

13002021 is a wasteful number, since it uses less digits than its factorization.

13002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13002021 is about 3605.8315268465. The cubic root of 13002021 is about 235.1456528776.

Adding to 13002021 its reverse (12020031), we get a palindrome (25022052).

It can be divided in two parts, 1300 and 2021, that added together give a triangular number (3321 = T81).

The spelling of 13002021 in words is "thirteen million, two thousand, twenty-one".

Divisors: 1 3 9 163 489 1467 8863 26589 79767 1444669 4334007 13002021