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221341303143128 = 23725156232800481
BaseRepresentation
bin110010010100111100001001…
…101111110111101011011000
31002000201000120222121002021002
4302110330021233313223120
5213002423442101040003
62102430442501004132
764423244555053040
oct6224741157675330
91060630528532232
10221341303143128
11645873572a5303
12209a95166b3648
13966751a6b80bc
143c92d94ad6720
151a8c8dde43a88
hexc94f09bf7ad8

221341303143128 has 64 divisors (see below), whose sum is σ = 476277301624320. Its totient is φ = 94465791360000.

The previous prime is 221341303143127. The next prime is 221341303143151. The reversal of 221341303143128 is 821341303143122.

It is a junction number, because it is equal to n+sod(n) for n = 221341303143091 and 221341303143100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221341303143127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77636648 + ... + 80437128.

It is an arithmetic number, because the mean of its divisors is an integer number (7441832837880).

Almost surely, 2221341303143128 is an apocalyptic number.

221341303143128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

221341303143128 is an abundant number, since it is smaller than the sum of its proper divisors (254935998481192).

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

221341303143128 is a wasteful number, since it uses less digits than its factorization.

221341303143128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806368 (or 2806364 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 221341303143128 in words is "two hundred twenty-one trillion, three hundred forty-one billion, three hundred three million, one hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 251 502 1004 1757 2008 3514 5623 7028 11246 14056 22492 39361 44984 78722 157444 314888 1411373 2800481 2822746 5600962 5645492 9879611 11201924 11290984 19603367 19759222 22403848 39206734 39518444 78413468 79036888 156826936 702920731 1405841462 2811682924 4920445117 5623365848 9840890234 15747104663 19681780468 31494209326 39363560936 62988418652 110229732641 125976837304 220459465282 440918930564 881837861128 3952523270413 7905046540826 15810093081652 27667662892891 31620186163304 55335325785782 110670651571564 221341303143128