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103472263073320 = 235531511093295727
BaseRepresentation
bin10111100001101110000011…
…011111000000111000101000
3111120100211222220212122120121
4113201232003133000320220
5102030242143321321240
61004022300150533024
730536424065243401
oct2741560337007050
9446324886778517
10103472263073320
112aa73381a96849
12b73174b667174
134597514544c5b
141b7a12729c9a8
15be683ea4804a
hex5e1b837c0e28

103472263073320 has 128 divisors (see below), whose sum is σ = 238995445847040. Its totient is φ = 40302012441600.

The previous prime is 103472263073279. The next prime is 103472263073321. The reversal of 103472263073320 is 23370362274301.

It is not an unprimeable number, because it can be changed into a prime (103472263073321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349743297 + ... + 350039023.

It is an arithmetic number, because the mean of its divisors is an integer number (1867151920680).

Almost surely, 2103472263073320 is an apocalyptic number.

103472263073320 is a gapful number since it is divisible by the number (10) 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 103472263073320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119497722923520).

103472263073320 is an abundant number, since it is smaller than the sum of its proper divisors (135523182773720).

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

103472263073320 is a wasteful number, since it uses less digits than its factorization.

103472263073320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297035 (or 297031 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 43.

The spelling of 103472263073320 in words is "one hundred three trillion, four hundred seventy-two billion, two hundred sixty-three million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 151 212 265 302 424 530 604 755 1060 1093 1208 1510 2120 2186 3020 4372 5465 6040 8003 8744 10930 16006 21860 32012 40015 43720 57929 64024 80030 115858 160060 165043 231716 289645 295727 320120 330086 463432 579290 591454 660172 825215 1158580 1182908 1320344 1478635 1650430 2317160 2365816 2957270 3300860 5914540 6601720 8747279 11829080 15673531 17494558 31347062 34989116 43736395 44654777 62694124 69978232 78367655 87472790 89309554 125388248 156735310 174945580 178619108 223273885 313470620 323229611 349891160 357238216 446547770 626941240 646459222 893095540 1292918444 1616148055 1786191080 2366703181 2585836888 3232296110 4733406362 6464592220 9466812724 11833515905 12929184440 17131169383 18933625448 23667031810 34262338766 47334063620 48807671261 68524677532 85655846915 94668127240 97615342522 137049355064 171311693830 195230685044 244038356305 342623387660 390461370088 488076712610 685246775320 976153425220 1952306850440 2586806576833 5173613153666 10347226307332 12934032884165 20694452614664 25868065768330 51736131536660 103472263073320