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13130440000 = 26541033187
BaseRepresentation
bin11000011101010001…
…01001110101000000
31020220002020110111121
430032220221311000
5203342343040000
610010530522024
7643245620116
oct141650516500
936802213447
1013130440000
115628877a07
122665436314
131313412832
148c7c01ab6
1551cb1ab1a
hex30ea29d40

13130440000 has 140 divisors (see below), whose sum is σ = 32885648224. Its totient is φ = 5199552000.

The previous prime is 13130439989. The next prime is 13130440021. The reversal of 13130440000 is 4403131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4118407 + ... + 4121593.

Almost surely, 213130440000 is an apocalyptic number.

13130440000 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 13130440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442824112).

13130440000 is an abundant number, since it is smaller than the sum of its proper divisors (19755208224).

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

13130440000 is an equidigital number, since it uses as much as digits as its factorization.

13130440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13130440000 its reverse (4403131), we get a palindrome (13134843131).

The spelling of 13130440000 in words is "thirteen billion, one hundred thirty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 200 206 250 320 400 412 500 515 625 800 824 1000 1030 1250 1600 1648 2000 2060 2500 2575 3187 3296 4000 4120 5000 5150 6374 6592 8000 8240 10000 10300 12748 12875 15935 16480 20000 20600 25496 25750 31870 32960 40000 41200 50992 51500 63740 64375 79675 82400 101984 103000 127480 128750 159350 164800 203968 206000 254960 257500 318700 328261 398375 412000 509920 515000 637400 656522 796750 824000 1019840 1030000 1274800 1313044 1593500 1641305 1991875 2060000 2549600 2626088 3187000 3282610 3983750 4120000 5099200 5252176 6374000 6565220 7967500 8206525 10504352 12748000 13130440 15935000 16413050 21008704 25496000 26260880 31870000 32826100 41032625 52521760 63740000 65652200 82065250 105043520 127480000 131304400 164130500 205163125 262608800 328261000 410326250 525217600 656522000 820652500 1313044000 1641305000 2626088000 3282610000 6565220000 13130440000