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13044130200 = 23325261118799
BaseRepresentation
bin11000010010111110…
…11010000110011000
31020200001211110201100
430021133122012120
5203203244131300
65554204551400
7641150164053
oct141137320630
936601743640
1013044130200
1155940870a2
122640552560
1312cb58344a
148ba575a9a
1551526c700
hex3097da198

13044130200 has 144 divisors (see below), whose sum is σ = 44525052000. Its totient is φ = 3421382400.

The previous prime is 13044130199. The next prime is 13044130201. The reversal of 13044130200 is 203144031.

It is an interprime number because it is at equal distance from previous prime (13044130199) and next prime (13044130201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044130201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50401 + ... + 169199.

It is an arithmetic number, because the mean of its divisors is an integer number (309201750).

Almost surely, 213044130200 is an apocalyptic number.

13044130200 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 13044130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262526000).

13044130200 is an abundant number, since it is smaller than the sum of its proper divisors (31480921800).

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

13044130200 is a wasteful number, since it uses less digits than its factorization.

13044130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118882 (or 118870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13044130200 its reverse (203144031), we get a palindrome (13247274231).

The spelling of 13044130200 in words is "thirteen billion, forty-four million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1464 1525 1800 1830 2196 2440 2745 3050 3660 4392 4575 5490 6100 7320 9150 10980 12200 13725 18300 21960 27450 36600 54900 109800 118799 237598 356397 475196 593995 712794 950392 1069191 1187990 1425588 1781985 2138382 2375980 2851176 2969975 3563970 4276764 4751960 5345955 5939950 7127940 7246739 8553528 8909925 10691910 11879900 14255880 14493478 17819850 21383820 21740217 23759800 26729775 28986956 35639700 36233695 42767640 43480434 53459550 57973912 65220651 71279400 72467390 86960868 106919100 108701085 130441302 144934780 173921736 181168475 213838200 217402170 260882604 289869560 326103255 362336950 434804340 521765208 543505425 652206510 724673900 869608680 1087010850 1304413020 1449347800 1630516275 2174021700 2608826040 3261032550 4348043400 6522065100 13044130200