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1313203221 = 3211194011741
BaseRepresentation
bin100111001000101…
…1110010000010101
310101112000122011100
41032101132100111
510142140000341
6334150300313
744354020551
oct11621362025
93345018140
101313203221
116142a6020
12307957699
1317c0ab835
14c659a861
157a44c3b6
hex4e45e415

1313203221 has 48 divisors (see below), whose sum is σ = 2184886080. Its totient is φ = 751680000.

The previous prime is 1313203163. The next prime is 1313203237. The reversal of 1313203221 is 1223023131.

It is not a de Polignac number, because 1313203221 - 27 = 1313203093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313203194 and 1313203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313203261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753411 + ... + 755151.

It is an arithmetic number, because the mean of its divisors is an integer number (45518460).

Almost surely, 21313203221 is an apocalyptic number.

1313203221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313203221 is a deficient number, since it is larger than the sum of its proper divisors (871682859).

1313203221 is a wasteful number, since it uses less digits than its factorization.

1313203221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313203221 is about 36238.1459376718. The cubic root of 1313203221 is about 1095.0752910011.

Adding to 1313203221 its reverse (1223023131), we get a palindrome (2536226352).

The spelling of 1313203221 in words is "one billion, three hundred thirteen million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 401 627 1203 1741 1881 3609 4411 5223 7619 13233 15669 19151 22857 33079 39699 57453 68571 83809 99237 172359 251427 297711 363869 698141 754281 1091607 2094423 3274821 6283269 7679551 13264679 23038653 39794037 69115959 119382111 145911469 437734407 1313203221