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1130301310122 = 234199710735381
BaseRepresentation
bin10000011100101011001…
…101010100010010101010
311000001111122022210220000
4100130223031110102222
5122004324113410442
62223130411443430
7144442630420365
oct20345315242252
94001448283800
101130301310122
113a63a3693856
12163087756576
138278270958a
143c9c79470dc
151e605c96d4c
hex1072b3544aa

1130301310122 has 160 divisors (see below), whose sum is σ = 2718747218880. Its totient is φ = 349946127360.

The previous prime is 1130301310111. The next prime is 1130301310147. The reversal of 1130301310122 is 2210131030311.

1130301310122 is a `hidden beast` number, since 1 + 1 + 30 + 301 + 310 + 1 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130301310095 and 1130301310104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31928872 + ... + 31964252.

It is an arithmetic number, because the mean of its divisors is an integer number (16992170118).

Almost surely, 21130301310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130301310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359373609440).

1130301310122 is an abundant number, since it is smaller than the sum of its proper divisors (1588445908758).

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

1130301310122 is a wasteful number, since it uses less digits than its factorization.

1130301310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35618 (or 35609 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130301310122 its reverse (2210131030311), we get a palindrome (3340432340433).

The spelling of 1130301310122 in words is "one trillion, one hundred thirty billion, three hundred one million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 97 107 114 162 171 194 214 291 321 342 513 582 642 873 963 1026 1539 1746 1843 1926 2033 2619 2889 3078 3686 4066 5238 5529 5778 6099 7857 8667 10379 11058 12198 15714 16587 17334 18297 20758 31137 33174 35381 36594 49761 54891 62274 70762 93411 99522 106143 109782 149283 164673 186822 197201 212286 280233 298566 318429 329346 394402 560466 591603 636858 672239 840699 955287 1183206 1344478 1681398 1774809 1910574 2016717 2865861 3431957 3549618 3785767 4033434 5324427 5731722 6050151 6863914 7571534 10295871 10648854 11357301 12100302 15973281 18150453 20591742 22714602 30887613 31946562 34071903 36300906 54451359 61775226 65207183 68143806 71929573 92662839 102215709 108902718 130414366 143859146 185325678 195621549 204431418 215788719 277988517 306647127 367219399 391243098 431577438 555977034 586864647 613294254 647366157 734438798 1101658197 1173729294 1294732314 1760593941 1942098471 2203316394 3304974591 3521187882 3884196942 5281781823 5826295413 6609949182 6977168581 9914923773 10563563646 11652590826 13954337162 19829847546 20931505743 29744771319 41863011486 59489542638 62794517229 125589034458 188383551687 376767103374 565150655061 1130301310122