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13131223110 = 232510111871217
BaseRepresentation
bin11000011101010111…
…01001000001000110
31020220010201020201200
430032223221001012
5203343043114420
610010555403330
7643255361205
oct141653510106
936803636650
1013131223110
115629262305
122665753546
131313628105
148c7d6723c
1551cc22b90
hex30eae9046

13131223110 has 96 divisors (see below), whose sum is σ = 34536614112. Its totient is φ = 3461222400.

The previous prime is 13131223103. The next prime is 13131223111. The reversal of 13131223110 is 1132213131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131223111) 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, 10789222 + ... + 10790438.

It is an arithmetic number, because the mean of its divisors is an integer number (359756397).

Almost surely, 213131223110 is an apocalyptic number.

13131223110 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 13131223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268307056).

13131223110 is an abundant number, since it is smaller than the sum of its proper divisors (21405391002).

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

13131223110 is a wasteful number, since it uses less digits than its factorization.

13131223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131223110 its reverse (1132213131), we get a palindrome (14263436241).

The spelling of 13131223110 in words is "thirteen billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1187 1217 1515 1818 2374 2434 3030 3561 3651 4545 5935 6085 7122 7302 9090 10683 10953 11870 12170 17805 18255 21366 21906 35610 36510 53415 54765 106830 109530 119887 122917 239774 245834 359661 368751 599435 614585 719322 737502 1078983 1106253 1198870 1229170 1444579 1798305 1843755 2157966 2212506 2889158 3596610 3687510 4333737 5394915 5531265 7222895 8667474 10789830 11062530 13001211 14445790 21668685 26002422 43337370 65006055 130012110 145902479 291804958 437707437 729512395 875414874 1313122311 1459024790 2188537185 2626244622 4377074370 6565611555 13131223110