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13411445300 = 225211471491741
BaseRepresentation
bin11000111110110001…
…00110101000110100
31021121200000000022022
430133120212220310
5204431312222200
610054445452312
7653230255421
oct143730465064
937550000268
1013411445300
1157624583a0
122723571098
1313596bc966
1491326cd48
15537626885
hex31f626a34

13411445300 has 144 divisors (see below), whose sum is σ = 32660409600. Its totient is φ = 4738368000.

The previous prime is 13411445297. The next prime is 13411445309. The reversal of 13411445300 is 354411431.

It is a happy number.

13411445300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13411445300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411445309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7702430 + ... + 7704170.

It is an arithmetic number, because the mean of its divisors is an integer number (226808400).

Almost surely, 213411445300 is an apocalyptic number.

13411445300 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 13411445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330204800).

13411445300 is an abundant number, since it is smaller than the sum of its proper divisors (19248964300).

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

13411445300 is a wasteful number, since it uses less digits than its factorization.

13411445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 13411445300 its reverse (354411431), we get a palindrome (13765856731).

The spelling of 13411445300 in words is "thirteen billion, four hundred eleven million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 149 188 220 235 275 298 470 517 550 596 745 940 1034 1100 1175 1490 1639 1741 2068 2350 2585 2980 3278 3482 3725 4700 5170 6556 6964 7003 7450 8195 8705 10340 12925 14006 14900 16390 17410 19151 25850 28012 32780 34820 35015 38302 40975 43525 51700 70030 76604 77033 81827 81950 87050 95755 140060 154066 163654 163900 174100 175075 191510 259409 308132 327308 350150 383020 385165 409135 478775 518818 700300 770330 818270 900097 957550 1037636 1297045 1540660 1636540 1800194 1915100 1925825 2045675 2594090 2853499 3600388 3851650 4091350 4500485 5188180 5706998 6485225 7703300 8182700 9000970 11413996 12192223 12970450 14267495 18001940 22502425 24384446 25940900 28534990 45004850 48768892 57069980 60961115 71337475 90009700 121922230 134114453 142674950 243844460 268228906 285349900 304805575 536457812 609611150 670572265 1219222300 1341144530 2682289060 3352861325 6705722650 13411445300