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13123030120 = 2352927740841
BaseRepresentation
bin11000011100011000…
…11000110001101000
31020212120022000001121
430032030120301220
5203333443430440
610010104025024
7643125626014
oct141614306150
936776260047
1013123030120
115624676842
122662a62174
131311a19ba5
148c6c33544
1551c15534a
hex30e318c68

13123030120 has 64 divisors (see below), whose sum is σ = 30656005200. Its totient is φ = 5049784320.

The previous prime is 13123030079. The next prime is 13123030147. The reversal of 13123030120 is 2103032131.

It can be written as a sum of positive squares in 8 ways, for example, as 6709903396 + 6413126724 = 81914^2 + 80082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13123030094 and 13123030103.

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, 300900 + ... + 341740.

Almost surely, 213123030120 is an apocalyptic number.

13123030120 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 13123030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328002600).

13123030120 is an abundant number, since it is smaller than the sum of its proper divisors (17532975080).

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

13123030120 is a wasteful number, since it uses less digits than its factorization.

13123030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41158 (or 41154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13123030120 its reverse (2103032131), we get a palindrome (15226062251).

The spelling of 13123030120 in words is "thirteen billion, one hundred twenty-three million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 277 290 554 580 1108 1160 1385 2216 2770 5540 8033 11080 16066 32132 40165 40841 64264 80330 81682 160660 163364 204205 321320 326728 408410 816820 1184389 1633640 2368778 4737556 5921945 9475112 11312957 11843890 22625914 23687780 45251828 47375560 56564785 90503656 113129570 226259140 328075753 452518280 656151506 1312303012 1640378765 2624606024 3280757530 6561515060 13123030120