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13221011310 = 2351337916217
BaseRepresentation
bin11000101000000100…
…01001111101101110
31021010101122221222120
430110002021331232
5204034034330220
610023524053410
7645425512323
oct142402117556
937111587876
1013221011310
115674a09531
12268b834266
131329104820
148d5c5ab4a
15525a5ba40
hex314089f6e

13221011310 has 64 divisors (see below), whose sum is σ = 35094814272. Its totient is φ = 3166442496.

The previous prime is 13221011269. The next prime is 13221011339. The reversal of 13221011310 is 1311012231.

It is a happy number.

It is a super-2 number, since 2×132210113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13221011310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443679 + ... + 472538.

It is an arithmetic number, because the mean of its divisors is an integer number (548356473).

Almost surely, 213221011310 is an apocalyptic number.

13221011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13221011310 is an abundant number, since it is smaller than the sum of its proper divisors (21873802962).

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

13221011310 is a wasteful number, since it uses less digits than its factorization.

13221011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916277.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13221011310 its reverse (1311012231), we get a palindrome (14532023541).

The spelling of 13221011310 in words is "thirteen billion, two hundred twenty-one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 916217 1832434 2748651 4581085 5497302 9162170 11910821 13743255 23821642 27486510 33900029 35732463 59554105 67800058 71464926 101700087 119108210 169500145 178662315 203400174 339000290 357324630 440700377 508500435 881400754 1017000870 1322101131 2203501885 2644202262 4407003770 6610505655 13221011310