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10011312312320 = 21251144439419
BaseRepresentation
bin1001000110101111000010…
…1101101101000000000000
31022110001221120100021000202
42101223300231231000000
52303011131422443240
633143044451104332
72052202436406554
oct221536055550000
938401846307022
1010011312312320
11320a856895770
1211583142a20a8
135780a79a1b57
1426879b699864
1512563d124315
hex91af0b6d000

10011312312320 has 104 divisors (see below), whose sum is σ = 26208236823840. Its totient is φ = 3640477122560.

The previous prime is 10011312312319. The next prime is 10011312312343. The reversal of 10011312312320 is 2321321311001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10011312312292 and 10011312312301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21994430 + ... + 22444989.

Almost surely, 210011312312320 is an apocalyptic number.

10011312312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011312312320 is an abundant number, since it is smaller than the sum of its proper divisors (16196924511520).

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

10011312312320 is an equidigital number, since it uses as much as digits as its factorization.

10011312312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44439459 (or 44439437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10011312312320 its reverse (2321321311001), we get a palindrome (12332633623321).

The spelling of 10011312312320 in words is "ten trillion, eleven billion, three hundred twelve million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 10240 11264 14080 20480 22528 28160 45056 56320 112640 225280 44439419 88878838 177757676 222197095 355515352 444394190 488833609 711030704 888788380 977667218 1422061408 1777576760 1955334436 2444168045 2844122816 3555153520 3910668872 4888336090 5688245632 7110307040 7821337744 9776672180 11376491264 14220614080 15642675488 19553344360 22752982528 28441228160 31285350976 39106688720 45505965056 56882456320 62570701952 78213377440 91011930112 113764912640 125141403904 156426754880 182023860224 227529825280 250282807808 312853509760 455059650560 500565615616 625707019520 910119301120 1001131231232 1251414039040 2002262462464 2502828078080 5005656156160 10011312312320