Search a number
-
+
13110401403220 = 2251133713310863
BaseRepresentation
bin1011111011001000000011…
…0100011000100101010100
31201102100020102012220100111
42332302000310120211110
53204300100224400340
643514500225452404
72522123653136542
oct276620064304524
951370212186314
1013110401403220
1141a50a9894000
121578a72aa1104
137413c8398504
14334792656d92
1517b071b1daea
hexbec80d18954

13110401403220 has 96 divisors (see below), whose sum is σ = 31101419414016. Its totient is φ = 4638569189760.

The previous prime is 13110401403193. The next prime is 13110401403221. The reversal of 13110401403220 is 2230410401131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13110401403191 and 13110401403200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110401403221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5670492 + ... + 7640371.

It is an arithmetic number, because the mean of its divisors is an integer number (323973118896).

Almost surely, 213110401403220 is an apocalyptic number.

13110401403220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110401403220 is an abundant number, since it is smaller than the sum of its proper divisors (17991018010796).

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

13110401403220 is a wasteful number, since it uses less digits than its factorization.

13110401403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310942 (or 13310918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13110401403220 its reverse (2230410401131), we get a palindrome (15340811804351).

The spelling of 13110401403220 in words is "thirteen trillion, one hundred ten billion, four hundred one million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1331 1628 2035 2420 2662 4070 4477 5324 6655 8140 8954 13310 17908 22385 26620 44770 49247 89540 98494 196988 246235 492470 984940 13310863 26621726 53243452 66554315 133108630 146419493 266217260 292838986 492501931 585677972 732097465 985003862 1464194930 1610614423 1970007724 2462509655 2928389860 3221228846 4925019310 5417521241 6442457692 8053072115 9850038620 10835042482 16106144230 17716758653 21670084964 27087606205 32212288460 35433517306 54175212410 59592733651 70867034612 88583793265 108350424820 119185467302 177167586530 238370934604 297963668255 354335173060 595927336510 655520070161 1191854673020 1311040140322 2622080280644 3277600350805 6555200701610 13110401403220