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13044821010 = 2351323769539
BaseRepresentation
bin11000010011000100…
…00010110000010010
31020200010010120022220
430021202002300102
5203203433233020
65554231441510
7641156102064
oct141142026022
936603116286
1013044821010
115594509111
122640826296
1312cb765a00
148ba6b5734
15515357240
hex309882c12

13044821010 has 96 divisors (see below), whose sum is σ = 34817843520. Its totient is φ = 3124203264.

The previous prime is 13044821003. The next prime is 13044821017. The reversal of 13044821010 is 1012844031.

It is an interprime number because it is at equal distance from previous prime (13044821003) and next prime (13044821017).

It is not an unprimeable number, because it can be changed into a prime (13044821017) 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 47 ways as a sum of consecutive naturals, for example, 152821 + ... + 222359.

It is an arithmetic number, because the mean of its divisors is an integer number (362685870).

Almost surely, 213044821010 is an apocalyptic number.

13044821010 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 13044821010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408921760).

13044821010 is an abundant number, since it is smaller than the sum of its proper divisors (21773022510).

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

13044821010 is a wasteful number, since it uses less digits than its factorization.

13044821010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69612 (or 69599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 13044821010 in words is "thirteen billion, forty-four million, eight hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 169 185 195 222 338 370 390 481 507 555 845 962 1014 1110 1443 1690 2405 2535 2886 4810 5070 6253 7215 12506 14430 18759 31265 37518 62530 69539 93795 139078 187590 208617 347695 417234 695390 904007 1043085 1808014 2086170 2572943 2712021 4520035 5145886 5424042 7718829 9040070 11752091 12864715 13560105 15437658 23504182 25729430 27120210 33448259 35256273 38594145 58760455 66896518 70512546 77188290 100344777 117520910 167241295 176281365 200689554 334482590 352562730 434827367 501723885 869654734 1003447770 1304482101 2174136835 2608964202 4348273670 6522410505 13044821010