Search a number
-
+
13103204240 = 2457174332009
BaseRepresentation
bin11000011010000001…
…10000011110010000
31020211011222202001202
430031000300132100
5203313410013430
610004115050332
7642465253430
oct141500603620
936734882052
1013103204240
115614465315
1226582a09a8
13130a897ab9
148c43522c0
1551a53ad45
hex30d030790

13103204240 has 160 divisors (see below), whose sum is σ = 37723656960. Its totient is φ = 4129800192.

The previous prime is 13103204239. The next prime is 13103204243. The reversal of 13103204240 is 4240230131.

It is a super-2 number, since 2×131032042402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13103204243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393356 + ... + 425364.

It is an arithmetic number, because the mean of its divisors is an integer number (235772856).

Almost surely, 213103204240 is an apocalyptic number.

13103204240 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 13103204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861828480).

13103204240 is an abundant number, since it is smaller than the sum of its proper divisors (24620452720).

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

13103204240 is a wasteful number, since it uses less digits than its factorization.

13103204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32089 (or 32083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13103204240 its reverse (4240230131), we get a palindrome (17343434371).

The spelling of 13103204240 in words is "thirteen billion, one hundred three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 43 56 68 70 80 85 86 112 119 136 140 170 172 215 238 272 280 301 340 344 430 476 560 595 602 680 688 731 860 952 1190 1204 1360 1462 1505 1720 1904 2380 2408 2924 3010 3440 3655 4760 4816 5117 5848 6020 7310 9520 10234 11696 12040 14620 20468 24080 25585 29240 32009 40936 51170 58480 64018 81872 102340 128036 160045 204680 224063 256072 320090 409360 448126 512144 544153 640180 896252 1088306 1120315 1280360 1376387 1792504 2176612 2240630 2560720 2720765 2752774 3585008 3809071 4353224 4481260 5441530 5505548 6881935 7618142 8706448 8962520 9634709 10883060 11011096 13763870 15236284 17925040 19045355 19269418 21766120 22022192 23398579 27527740 30472568 38090710 38538836 43532240 46797158 48173545 55055480 60945136 76181420 77077672 93594316 96347090 110110960 116992895 152362840 154155344 163790053 187188632 192694180 233985790 304725680 327580106 374377264 385388360 467971580 655160212 770776720 818950265 935943160 1310320424 1637900530 1871886320 2620640848 3275801060 6551602120 13103204240