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102420303341304 = 233132919387583879
BaseRepresentation
bin10111010010011010010101…
…110011000110011011111000
3111102122021201001001100112110
4113102122111303012123320
5101411023240123410204
61001455123211012320
730400423411122234
oct2722322563063370
9442567631040473
10102420303341304
112a6a8230165173
12b5a18a843a0a0
13451c2684c0b70
141b4125214d5c4
15bc92c1880889
hex5d2695cc66f8

102420303341304 has 128 divisors (see below), whose sum is σ = 285270689088000. Its totient is φ = 30425630344704.

The previous prime is 102420303341093. The next prime is 102420303341329. The reversal of 102420303341304 is 403143303024201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175121637 + ... + 175705515.

It is an arithmetic number, because the mean of its divisors is an integer number (2228677258500).

Almost surely, 2102420303341304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102420303341304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142635344544000).

102420303341304 is an abundant number, since it is smaller than the sum of its proper divisors (182850385746696).

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

102420303341304 is a wasteful number, since it uses less digits than its factorization.

102420303341304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603317 (or 603313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 102420303341304 its reverse (403143303024201), we get a palindrome (505563606365505).

The spelling of 102420303341304 in words is "one hundred two trillion, four hundred twenty billion, three hundred three million, three hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 19387 38774 58161 77548 116322 155096 232644 252031 465288 504062 562223 583879 756093 1008124 1124446 1167758 1512186 1686669 1751637 2016248 2248892 2335516 3024372 3373338 3503274 4497784 4671032 6048744 6746676 7006548 7308899 7590427 13493352 14013096 14617798 15180854 16932491 21926697 22771281 29235596 30361708 33864982 43853394 45542562 50797473 58471192 60723416 67729964 87706788 91085124 101594946 135459928 175413576 182170248 203189892 220122383 406379784 440244766 660367149 880489532 1320734298 1760979064 2641468596 5282937192 11319662173 22639324346 33958986519 45278648692 67917973038 90557297384 135835946076 147155608249 271671892152 294311216498 328270203017 441466824747 588622432996 656540406034 882933649494 984810609051 1177244865992 1313080812068 1765867298988 1969621218102 2626161624136 3531734597976 3939242436204 4267512639221 7878484872408 8535025278442 12802537917663 17070050556884 25605075835326 34140101113768 51210151670652 102420303341304