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13303131330 = 23537101311831
BaseRepresentation
bin11000110001110110…
…11010110011000010
31021100010012002110210
430120323122303002
5204221100200310
610040020134550
7650443515306
oct143073326302
937303162423
1013303131330
1157072a8515
1226b3237456
131340127b58
14902b15d06
1552cd7d820
hex318edacc2

13303131330 has 64 divisors (see below), whose sum is σ = 32825564928. Its totient is φ = 3447924480.

The previous prime is 13303131319. The next prime is 13303131341. The reversal of 13303131330 is 3313130331.

13303131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13303131319) and next prime (13303131341).

It is a junction number, because it is equal to n+sod(n) for n = 13303131297 and 13303131306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118515 + ... + 1130345.

It is an arithmetic number, because the mean of its divisors is an integer number (512899452).

Almost surely, 213303131330 is an apocalyptic number.

13303131330 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 13303131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412782464).

13303131330 is an abundant number, since it is smaller than the sum of its proper divisors (19522433598).

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

13303131330 is a wasteful number, since it uses less digits than its factorization.

13303131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13303131330 its reverse (3313130331), we get a palindrome (16616261661).

Subtracting from 13303131330 its reverse (3313130331), we obtain a palindrome (9990000999).

The spelling of 13303131330 in words is "thirteen billion, three hundred three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1013 1110 2026 3039 5065 6078 10130 11831 15195 23662 30390 35493 37481 59155 70986 74962 112443 118310 177465 187405 224886 354930 374810 437747 562215 875494 1124430 1313241 2188735 2626482 4377470 6566205 11984803 13132410 23969606 35954409 59924015 71908818 119848030 179772045 359544090 443437711 886875422 1330313133 2217188555 2660626266 4434377110 6651565665 13303131330