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130222112440332 = 2231121733547157259
BaseRepresentation
bin11101100110111110110010…
…110000010000000000001100
3122002002010000220202022212210
4131212332302300100000030
5114032024341241042312
61140543113530230420
736300144225251523
oct3546766260200014
9562063026668783
10130222112440332
1138546984653100
1212731b01b85410
135787b7ab04383
142422ad8d2d4ba
15100c598e5be3c
hex766fb2c1000c

130222112440332 has 144 divisors (see below), whose sum is σ = 353644642431360. Its totient is φ = 37138653150720.

The previous prime is 130222112440331. The next prime is 130222112440369. The reversal of 130222112440332 is 233044211222031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130222112440332.

It is not an unprimeable number, because it can be changed into a prime (130222112440331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827995519 + ... + 828152777.

It is an arithmetic number, because the mean of its divisors is an integer number (2455865572440).

Almost surely, 2130222112440332 is an apocalyptic number.

130222112440332 is a gapful number since it is divisible by the number (12) 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 130222112440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176822321215680).

130222112440332 is an abundant number, since it is smaller than the sum of its proper divisors (223422529991028).

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

130222112440332 is a wasteful number, since it uses less digits than its factorization.

130222112440332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190852 (or 190839 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130222112440332 its reverse (233044211222031), we get a palindrome (363266323662363).

The spelling of 130222112440332 in words is "one hundred thirty trillion, two hundred twenty-two billion, one hundred twelve million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6171 8228 12342 24684 33547 67094 100641 134188 157259 201282 314518 369017 402564 471777 570299 629036 738034 943554 1107051 1140598 1476068 1710897 1729849 1887108 2214102 2281196 2673403 3421794 3459698 4059187 4428204 5189547 5346806 6273289 6843588 6919396 8020209 8118374 10379094 10693612 12177561 12546578 16040418 16236748 18819867 19028339 20758188 24355122 25093156 29407433 32080836 37639734 38056678 48710244 57085017 58814866 69006179 75279468 76113356 88222299 114170034 117629732 138012358 176444598 207018537 228340068 276024716 323481763 352889196 414037074 646963526 828074148 970445289 1293927052 1940890578 3881781156 5275567673 10551135346 15826703019 21102270692 31653406038 58031244403 63306812076 89684650441 116062488806 174093733209 179369300882 232124977612 269053951323 348187466418 358738601764 538107902646 638343688433 696374932836 986531154851 1076215805292 1276687376866 1915031065299 1973062309702 2553374753732 2959593464553 3830062130598 3946124619404 5919186929106 7660124261196 10851842703361 11838373858212 21703685406722 32555528110083 43407370813444 65111056220166 130222112440332