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130304332121334 = 237371571414937747
BaseRepresentation
bin11101101000001011010111…
…011011011100010011110110
3122002100222020221120212210020
4131220023113123130103312
5114034401233010340314
61141044552255310010
736306114552102360
oct3550132733342366
9562328227525706
10130304332121334
1138578836501398
1212745a2921b306
135792851a6b9a7
142426a987c9d30
15100e7ac233da9
hex7682d76dc4f6

130304332121334 has 128 divisors (see below), whose sum is σ = 307866406732800. Its totient is φ = 35989377255936.

The previous prime is 130304332121311. The next prime is 130304332121401. The reversal of 130304332121334 is 433121233403031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130304332121295 and 130304332121304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3452025849 + ... + 3452063595.

It is an arithmetic number, because the mean of its divisors is an integer number (2405206302600).

Almost surely, 2130304332121334 is an apocalyptic number.

130304332121334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130304332121334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153933203366400).

130304332121334 is an abundant number, since it is smaller than the sum of its proper divisors (177562074611466).

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

130304332121334 is a wasteful number, since it uses less digits than its factorization.

130304332121334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52102.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 130304332121334 its reverse (433121233403031), we get a palindrome (563425565524365).

The spelling of 130304332121334 in words is "one hundred thirty trillion, three hundred four billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 157 222 259 314 471 518 777 942 1099 1554 2198 3297 5809 6594 11618 14149 17427 28298 34854 37747 40663 42447 75494 81326 84894 99043 113241 121989 198086 226482 243978 264229 297129 523513 528458 594258 792687 1047026 1396639 1570539 1585374 2221393 2793278 3141078 3664591 4189917 4442786 5926279 6664179 7329182 8379834 9776473 10993773 11852558 13328358 15549751 17778837 19552946 21987546 29329419 31099502 35557674 41483953 46649253 58658838 82191541 82967906 93298506 124451859 164383082 219272323 246574623 248903718 438544646 493149246 534082303 575340787 657816969 1068164606 1150681574 1315633938 1534906261 1602246909 1726022361 3069812522 3204493818 3452044722 3738576121 4604718783 7477152242 9209437566 11215728363 19761045211 22431456726 39522090422 59283135633 83850921571 118566271266 138327316477 167701843142 251552764713 276654632954 414981949431 503105529426 586956450997 829963898862 1173912901994 1760869352991 3102484098127 3521738705982 6204968196254 9307452294381 18614904588762 21717388686889 43434777373778 65152166060667 130304332121334