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13044224020 = 22531109251769
BaseRepresentation
bin11000010010111111…
…10001000000010100
31020200002000020102011
430021133301000110
5203203310132040
65554210554004
7641151034432
oct141137610024
936602006364
1013044224020
115594140633
122640598904
1312cb5b7069
148ba59bd52
1551528a3ea
hex3097f1014

13044224020 has 96 divisors (see below), whose sum is σ = 28686873600. Its totient is φ = 4976640000.

The previous prime is 13044223987. The next prime is 13044224057. The reversal of 13044224020 is 2042244031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13044223982 and 13044224000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16962196 + ... + 16962964.

It is an arithmetic number, because the mean of its divisors is an integer number (298821600).

Almost surely, 213044224020 is an apocalyptic number.

13044224020 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 13044224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343436800).

13044224020 is an abundant number, since it is smaller than the sum of its proper divisors (15642649580).

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

13044224020 is a wasteful number, since it uses less digits than its factorization.

13044224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13044224020 its reverse (2042244031), we get a palindrome (15086468051).

The spelling of 13044224020 in words is "thirteen billion, forty-four million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 251 310 436 502 545 620 769 1004 1090 1255 1538 2180 2510 3076 3379 3845 5020 6758 7690 7781 13516 15380 15562 16895 23839 27359 31124 33790 38905 47678 54718 67580 77810 83821 95356 109436 119195 136795 155620 167642 193019 238390 273590 335284 386038 419105 476780 547180 772076 838210 848129 965095 1676420 1696258 1930190 2598451 3392516 3860380 4240645 5196902 5983589 8481290 10393804 11967178 12992255 16962580 21039071 23934356 25984510 29917945 42078142 51969020 59835890 84156284 105195355 119671780 210390710 420781420 652211201 1304422402 2608844804 3261056005 6522112010 13044224020