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1210221313 = 71724114591
BaseRepresentation
bin100100000100010…
…1000001100000001
310010100020121112121
41020020220030001
54434304040223
6320031124241
741663466010
oct11010501401
93110217477
101210221313
11571158204
12299373681
131639629b2
14b6a30a77
15713a915d
hex48228301

1210221313 has 24 divisors (see below), whose sum is σ = 1505193984. Its totient is φ = 952435200.

The previous prime is 1210221293. The next prime is 1210221343. The reversal of 1210221313 is 3131220121.

It is not a de Polignac number, because 1210221313 - 221 = 1208124161 is a prime.

It is a super-3 number, since 3×12102213133 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1210221343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75648 + ... + 90238.

It is an arithmetic number, because the mean of its divisors is an integer number (62716416).

Almost surely, 21210221313 is an apocalyptic number.

It is an amenable number.

1210221313 is a deficient number, since it is larger than the sum of its proper divisors (294972671).

1210221313 is a wasteful number, since it uses less digits than its factorization.

1210221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14673 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1210221313 is about 34788.2352671129. The cubic root of 1210221313 is about 1065.6672001967.

Adding to 1210221313 its reverse (3131220121), we get a palindrome (4341441434).

The spelling of 1210221313 in words is "one billion, two hundred ten million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 17 41 119 287 289 697 2023 4879 11849 14591 82943 102137 248047 598231 1736329 4187617 4216799 10169927 29517593 71189489 172888759 1210221313