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13322231130 = 23513214591801
BaseRepresentation
bin11000110100001000…
…10001110101011010
31021101110010110110210
430122010101311122
5204240442344010
610041541351550
7651065044665
oct143204216532
937343113423
1013322231130
11571706347a
1226b97085b6
131344084600
149054886dc
1552e8a2b20
hex31a111d5a

13322231130 has 96 divisors (see below), whose sum is σ = 34665001920. Its totient is φ = 3275251200.

The previous prime is 13322231129. The next prime is 13322231173. The reversal of 13322231130 is 3113222331.

It is a super-2 number, since 2×133222311302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13322231097 and 13322231106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7396230 + ... + 7398030.

It is an arithmetic number, because the mean of its divisors is an integer number (361093770).

Almost surely, 213322231130 is an apocalyptic number.

13322231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332500960).

13322231130 is an abundant number, since it is smaller than the sum of its proper divisors (21342770790).

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

13322231130 is a wasteful number, since it uses less digits than its factorization.

13322231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13322231130 its reverse (3113222331), we get a palindrome (16435453461).

The spelling of 13322231130 in words is "thirteen billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1459 1690 1801 2535 2918 3602 4377 5070 5403 7295 8754 9005 10806 14590 18010 18967 21885 23413 27015 37934 43770 46826 54030 56901 70239 94835 113802 117065 140478 189670 234130 246571 284505 304369 351195 493142 569010 608738 702390 739713 913107 1232855 1479426 1521845 1826214 2465710 2627659 3043690 3698565 4565535 5255318 7397130 7882977 9131070 13138295 15765954 26276590 34159567 39414885 68319134 78829770 102478701 170797835 204957402 341595670 444074371 512393505 888148742 1024787010 1332223113 2220371855 2664446226 4440743710 6661115565 13322231130