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13123100310 = 2351952344021
BaseRepresentation
bin11000011100011001…
…01001111010010110
31020212120102120100020
430032030221322112
5203334003202220
610010105330010
7643126340445
oct141614517226
936776376306
1013123100310
115624714551
122662a96906
131311a42b18
148c6c50d5c
1551c16b040
hex30e329e96

13123100310 has 64 divisors (see below), whose sum is σ = 33217240320. Its totient is φ = 3308895360.

The previous prime is 13123100269. The next prime is 13123100321. The reversal of 13123100310 is 1300132131.

13123100310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131231003102 (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 13123100310.

It is a congruent number.

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, 276100 + ... + 320120.

It is an arithmetic number, because the mean of its divisors is an integer number (519019380).

Almost surely, 213123100310 is an apocalyptic number.

13123100310 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 13123100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608620160).

13123100310 is an abundant number, since it is smaller than the sum of its proper divisors (20094140010).

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

13123100310 is a wasteful number, since it uses less digits than its factorization.

13123100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44573.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13123100310 its reverse (1300132131), we get a palindrome (14423232441).

The spelling of 13123100310 in words is "thirteen billion, one hundred twenty-three million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 523 570 1046 1569 2615 3138 5230 7845 9937 15690 19874 29811 44021 49685 59622 88042 99370 132063 149055 220105 264126 298110 440210 660315 836399 1320630 1672798 2509197 4181995 5018394 8363990 12545985 23022983 25091970 46045966 69068949 115114915 138137898 230229830 345344745 437436677 690689490 874873354 1312310031 2187183385 2624620062 4374366770 6561550155 13123100310