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13123226120 = 2355331319777
BaseRepresentation
bin11000011100011010…
…01000101000001000
31020212120122221220212
430032031020220020
5203334021213440
610010112140252
7643130403314
oct141615105010
936776587825
1013123226120
1156247a0024
122662b37688
131311a88174
148c6c84b44
1551c193465
hex30e348a08

13123226120 has 64 divisors (see below), whose sum is σ = 30182019120. Its totient is φ = 5133533184.

The previous prime is 13123226093. The next prime is 13123226159. The reversal of 13123226120 is 2162232131.

It can be written as a sum of positive squares in 8 ways, for example, as 2578811524 + 10544414596 = 50782^2 + 102686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653672 + ... + 673448.

Almost surely, 213123226120 is an apocalyptic number.

13123226120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091009560).

13123226120 is an abundant number, since it is smaller than the sum of its proper divisors (17058793000).

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

13123226120 is a wasteful number, since it uses less digits than its factorization.

13123226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20154 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13123226120 its reverse (2162232131), we get a palindrome (15285458251).

The spelling of 13123226120 in words is "thirteen billion, one hundred twenty-three million, two hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 313 424 530 626 1060 1252 1565 2120 2504 3130 6260 12520 16589 19777 33178 39554 66356 79108 82945 98885 132712 158216 165890 197770 331780 395540 663560 791080 1048181 2096362 4192724 5240905 6190201 8385448 10481810 12380402 20963620 24760804 30951005 41927240 49521608 61902010 123804020 247608040 328080653 656161306 1312322612 1640403265 2624645224 3280806530 6561613060 13123226120