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213002303131 = 17167103972211
BaseRepresentation
bin1100011001011111101…
…1010011011010011011
3202100210111102010021001
43012113323103122123
511442212042200011
6241504002325431
721250252463212
oct3062773233233
9670714363231
10213002303131
1182374279a72
1235346059877
1317117019277
14a448c8a079
155819bcd7c1
hex3197ed369b

213002303131 has 16 divisors (see below), whose sum is σ = 227103851520. Its totient is φ = 199077770880.

The previous prime is 213002303083. The next prime is 213002303141. The reversal of 213002303131 is 131303200312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213002303131 is a prime.

It is a super-2 number, since 2×2130023031312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213002303099 and 213002303108.

It is not an unprimeable number, because it can be changed into a prime (213002303141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2913616 + ... + 2985826.

It is an arithmetic number, because the mean of its divisors is an integer number (14193990720).

Almost surely, 2213002303131 is an apocalyptic number.

213002303131 is a deficient number, since it is larger than the sum of its proper divisors (14101548389).

213002303131 is a wasteful number, since it uses less digits than its factorization.

213002303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73434.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213002303131 its reverse (131303200312), we get a palindrome (344305503443).

The spelling of 213002303131 in words is "two hundred thirteen billion, two million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 17 167 1039 2839 17663 72211 173513 1227587 2949721 12059237 75027229 205007029 1275462893 12529547243 213002303131