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12413118270 = 2357313076211
BaseRepresentation
bin10111000111110000…
…10010011100111110
31012001002110202002010
423203320102130332
5200410224241040
65411424112050
7616415523120
oct134370223476
935032422063
1012413118270
11529a977533
1224a5165626
13122a91a0c7
1485a839210
154c9b75e80
hex2e3e1273e

12413118270 has 128 divisors (see below), whose sum is σ = 35265871872. Its totient is φ = 2736374400.

The previous prime is 12413118217. The next prime is 12413118281. The reversal of 12413118270 is 7281131421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995465 + ... + 2001675.

It is an arithmetic number, because the mean of its divisors is an integer number (275514624).

Almost surely, 212413118270 is an apocalyptic number.

12413118270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12413118270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632935936).

12413118270 is an abundant number, since it is smaller than the sum of its proper divisors (22852753602).

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

12413118270 is a wasteful number, since it uses less digits than its factorization.

12413118270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566.

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 12413118270 its reverse (7281131421), we get a palindrome (19694249691).

The spelling of 12413118270 in words is "twelve billion, four hundred thirteen million, one hundred eighteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 307 310 434 465 614 651 921 930 1085 1302 1535 1842 2149 2170 3070 3255 4298 4605 6211 6447 6510 9210 9517 10745 12422 12894 18633 19034 21490 28551 31055 32235 37266 43477 47585 57102 62110 64470 66619 86954 93165 95170 130431 133238 142755 186330 192541 199857 217385 260862 285510 333095 385082 399714 434770 577623 652155 666190 962705 999285 1155246 1304310 1347787 1906777 1925410 1998570 2695574 2888115 3813554 4043361 5720331 5776230 6738935 8086722 9533885 11440662 13347439 13477870 19067770 20216805 26694878 28601655 40042317 40433610 57203310 59110087 66737195 80084634 118220174 133474390 177330261 200211585 295550435 354660522 400423170 413770609 591100870 827541218 886651305 1241311827 1773302610 2068853045 2482623654 4137706090 6206559135 12413118270