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21002013320202 = 232412694097869
BaseRepresentation
bin1001100011001111010011…
…00010110010010000001010
32202100202212102022012020200
410301213221202302100022
510223044110402221302
6112400105225033030
74265226316511055
oct461475142622012
982322772265220
1021002013320202
1167679a3aa8222
1224323b7925776
13b9463470b7b5
14528707c29a9c
1526649d24181c
hex1319e98b240a

21002013320202 has 36 divisors (see below), whose sum is σ = 46641294570390. Its totient is φ = 6829923021120.

The previous prime is 21002013320153. The next prime is 21002013320209. The reversal of 21002013320202 is 20202331020012.

21002013320202 is a `hidden beast` number, since 210 + 0 + 201 + 33 + 20 + 202 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2223233084601 + 18778780235601 = 1491051^2 + 4333449^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21002013320209) 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 17 ways as a sum of consecutive naturals, for example, 347018677 + ... + 347079192.

Almost surely, 221002013320202 is an apocalyptic number.

21002013320202 is an abundant number, since it is smaller than the sum of its proper divisors (25639281250188).

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

21002013320202 is a wasteful number, since it uses less digits than its factorization.

21002013320202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694097959 (or 694097915 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21002013320202 its reverse (20202331020012), we get a palindrome (41204344340214).

The spelling of 21002013320202 in words is "twenty-one trillion, two billion, thirteen million, three hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1681 3362 5043 10086 15129 30258 694097869 1388195738 2082293607 4164587214 6246880821 12493761642 28458012629 56916025258 85374037887 170748075774 256122113661 512244227322 1166778517789 2333557035578 3500335553367 7000671106734 10501006660101 21002013320202