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13123040010 = 2351728191571
BaseRepresentation
bin11000011100011000…
…11011001100001010
31020212120022111121220
430032030123030022
5203333444240020
610010104142510
7643125666603
oct141614331412
936776274556
1013123040010
115624683213
122662a67a36
131311a21542
148c6c36daa
1551c158240
hex30e31b30a

13123040010 has 64 divisors (see below), whose sum is σ = 33467001984. Its totient is φ = 3281868800.

The previous prime is 13123040003. The next prime is 13123040033. The reversal of 13123040010 is 1004032131.

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

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, 97525 + ... + 189095.

It is an arithmetic number, because the mean of its divisors is an integer number (522921906).

Almost surely, 213123040010 is an apocalyptic number.

13123040010 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 13123040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733500992).

13123040010 is an abundant number, since it is smaller than the sum of its proper divisors (20343961974).

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

13123040010 is a wasteful number, since it uses less digits than its factorization.

13123040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91879.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13123040010 its reverse (1004032131), we get a palindrome (14127072141).

The spelling of 13123040010 in words is "thirteen billion, one hundred twenty-three million, forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 281 510 562 843 1405 1686 2810 4215 4777 8430 9554 14331 23885 28662 47770 71655 91571 143310 183142 274713 457855 549426 915710 1373565 1556707 2747130 3113414 4670121 7783535 9340242 15567070 23350605 25731451 46701210 51462902 77194353 128657255 154388706 257314510 385971765 437434667 771943530 874869334 1312304001 2187173335 2624608002 4374346670 6561520005 13123040010