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2202130300320 = 253251837183243
BaseRepresentation
bin100000000010111001001…
…100011011110110100000
321210112002020200000010100
4200002321030123312200
5242034430324102240
64403351130502400
7315045561465126
oct40027114336640
97715066600110
102202130300320
11779a11166165
122b6954b94a00
1312c87701cc82
1478825867916
153c4384a1e30
hex200b931bda0

2202130300320 has 144 divisors (see below), whose sum is σ = 7515268985952. Its totient is φ = 587195727360.

The previous prime is 2202130300301. The next prime is 2202130300369. The reversal of 2202130300320 is 230030312022.

It is a happy number.

2202130300320 is a `hidden beast` number, since 2 + 20 + 21 + 3 + 0 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2202130300293 and 2202130300302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26412619 + ... + 26495861.

It is an arithmetic number, because the mean of its divisors is an integer number (52189367958).

Almost surely, 22202130300320 is an apocalyptic number.

2202130300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202130300320 is an abundant number, since it is smaller than the sum of its proper divisors (5313138685632).

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

2202130300320 is a wasteful number, since it uses less digits than its factorization.

2202130300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101635 (or 101624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2202130300320 its reverse (230030312022), we get a palindrome (2432160612342).

The spelling of 2202130300320 in words is "two trillion, two hundred two billion, one hundred thirty million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 18371 36742 55113 73484 83243 91855 110226 146968 165339 166486 183710 220452 249729 275565 293936 330678 332972 367420 416215 440904 499458 551130 587872 661356 665944 734840 749187 826695 832430 881808 998916 1102260 1248645 1322712 1331888 1469680 1498374 1653390 1664860 1763616 1997832 2204520 2497290 2645424 2663776 2939360 2996748 3306780 3329720 3745935 3995664 4409040 4994580 5290848 5993496 6613560 6659440 7491870 7991328 8818080 9989160 11986992 13227120 13318880 14983740 19978320 23973984 26454240 29967480 39956640 59934960 119869920 1529257153 3058514306 4587771459 6117028612 7646285765 9175542918 12234057224 13763314377 15292571530 18351085836 22938857295 24468114448 27526628754 30585143060 36702171672 45877714590 48936228896 55053257508 61170286120 68816571885 73404343344 91755429180 110106515016 122340572240 137633143770 146808686688 183510858360 220213030032 244681144480 275266287540 367021716720 440426060064 550532575080 734043433440 1101065150160 2202130300320