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10011223311100 = 22521147193640683
BaseRepresentation
bin1001000110101110101101…
…1010001100001011111100
31022110001201100212112022021
42101223223122030023330
52303010441131423400
633143031551325524
72052200306044024
oct221535332141374
938401640775267
1010011223311100
11320a810626840
1211582aa5208a4
1357809240c6cb
1426878d92ca84
151256353e371a
hex91aeb68c2fc

10011223311100 has 72 divisors (see below), whose sum is σ = 24203536374528. Its totient is φ = 3562988548800.

The previous prime is 10011223311031. The next prime is 10011223311119. The reversal of 10011223311100 is 111332211001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96768642 + ... + 96872041.

It is an arithmetic number, because the mean of its divisors is an integer number (336160227424).

Almost surely, 210011223311100 is an apocalyptic number.

10011223311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011223311100 is an abundant number, since it is smaller than the sum of its proper divisors (14192313063428).

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

10011223311100 is a wasteful number, since it uses less digits than its factorization.

10011223311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193640755 (or 193640748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10011223311100 its reverse (111332211001), we get a palindrome (10122555522101).

The spelling of 10011223311100 in words is "ten trillion, eleven billion, two hundred twenty-three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 193640683 387281366 774562732 968203415 1936406830 2130047513 3872813660 4260095026 4841017075 8520190052 9101112101 9682034150 10650237565 18202224202 19364068300 21300475130 36404448404 42600950260 45505560505 53251187825 91011121010 100112233111 106502375650 182022242020 200224466222 213004751300 227527802525 400448932444 455055605050 500561165555 910111210100 1001122331110 2002244662220 2502805827775 5005611655550 10011223311100