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213330022031 = 731277516521
BaseRepresentation
bin1100011010101101110…
…1011100111010001111
3202101122100001222002002
43012223131130322033
511443344441201111
6242000310422515
721261342161000
oct3065335347217
9671570058062
10213330022031
1182522266035
1235417961a3b
1317169ba0989
14a47a5d71a7
15583886563b
hex31ab75ce8f

213330022031 has 32 divisors (see below), whose sum is σ = 251112652800. Its totient is φ = 181145160000.

The previous prime is 213330022001. The next prime is 213330022067. The reversal of 213330022031 is 130220033312.

It is not a de Polignac number, because 213330022031 - 218 = 213329759887 is a prime.

It is a super-2 number, since 2×2133300220312 (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 = 213330021994 and 213330022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330022001) 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 31 ways as a sum of consecutive naturals, for example, 32711051 + ... + 32717571.

It is an arithmetic number, because the mean of its divisors is an integer number (7847270400).

Almost surely, 2213330022031 is an apocalyptic number.

213330022031 is a deficient number, since it is larger than the sum of its proper divisors (37782630769).

213330022031 is an equidigital number, since it uses as much as digits as its factorization.

213330022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213330022031 its reverse (130220033312), we get a palindrome (343550055343).

The spelling of 213330022031 in words is "two hundred thirteen billion, three hundred thirty million, twenty-two thousand, thirty-one".

Divisors: 1 7 49 127 343 751 889 5257 6223 6521 36799 43561 45647 95377 257593 319529 667639 828167 2236703 4673473 4897271 5797169 32714311 34280897 40580183 239966279 284061281 621953417 1679763953 4353673919 30475717433 213330022031