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13010010120 = 2332541881437
BaseRepresentation
bin11000001110111010…
…10000000000001000
31020120200121222202200
430013131100000020
5203121030310440
65550545400200
7640254155442
oct140735200010
936520558680
1013010010120
1155768a2188
122631039060
1312c4498053
148b5c13492
1551227cc30
hex307750008

13010010120 has 96 divisors (see below), whose sum is σ = 43313863320. Its totient is φ = 3384714240.

The previous prime is 13010010107. The next prime is 13010010127. The reversal of 13010010120 is 2101001031.

It can be written as a sum of positive squares in 4 ways, for example, as 4826636676 + 8183373444 = 69474^2 + 90462^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13010010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425959 + ... + 455478.

Almost surely, 213010010120 is an apocalyptic number.

13010010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010010120 is an abundant number, since it is smaller than the sum of its proper divisors (30303853200).

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

13010010120 is a wasteful number, since it uses less digits than its factorization.

13010010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881495 (or 881488 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13010010120 its reverse (2101001031), we get a palindrome (15111011151).

The spelling of 13010010120 in words is "thirteen billion, ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 881437 1762874 2644311 3525748 4407185 5288622 7051496 7932933 8814370 10577244 13221555 15865866 17628740 21154488 26443110 31731732 35257480 36138917 39664665 52886220 63463464 72277834 79329330 105772440 108416751 144555668 158658660 180694585 216833502 289111336 317317320 325250253 361389170 433667004 542083755 650500506 722778340 867334008 1084167510 1301001012 1445556680 1626251265 2168335020 2602002024 3252502530 4336670040 6505005060 13010010120