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13012311040 = 21054161987
BaseRepresentation
bin11000001111001100…
…00001110000000000
31020120211221220000221
430013212001300000
5203122122423130
65551110552424
7640312550611
oct140746016000
936524856027
1013012311040
115578123973
122631968714
1312c4ac2441
148b6251c08
1551258487a
hex307981c00

13012311040 has 88 divisors (see below), whose sum is σ = 31976137872. Its totient is φ = 5077893120.

The previous prime is 13012311023. The next prime is 13012311043. The reversal of 13012311040 is 4011321031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012311043) 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 7 ways as a sum of consecutive naturals, for example, 178927 + ... + 240913.

Almost surely, 213012311040 is an apocalyptic number.

13012311040 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 13012311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988068936).

13012311040 is an abundant number, since it is smaller than the sum of its proper divisors (18963826832).

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

13012311040 is an equidigital number, since it uses as much as digits as its factorization.

13012311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62053 (or 62035 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13012311040 its reverse (4011321031), we get a palindrome (17023632071).

Subtracting from 13012311040 its reverse (4011321031), we obtain a palindrome (9000990009).

The spelling of 13012311040 in words is "thirteen billion, twelve million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2560 2624 3280 5120 5248 6560 10496 13120 20992 26240 41984 52480 61987 104960 123974 209920 247948 309935 495896 619870 991792 1239740 1983584 2479480 2541467 3967168 4958960 5082934 7934336 9917920 10165868 12707335 15868672 19835840 20331736 25414670 31737344 39671680 40663472 50829340 63474688 79343360 81326944 101658680 158686720 162653888 203317360 317373440 325307776 406634720 650615552 813269440 1301231104 1626538880 2602462208 3253077760 6506155520 13012311040