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221110200221120 = 2657346128520633
BaseRepresentation
bin110010010001100100111010…
…111100001011110111000000
31001222212221002000200020211022
4302101210322330023313000
5212440132142224033440
62102132342415205012
764400453612454110
oct6221447274136700
91058787060606738
10221110200221120
11644a834476a491
122097077a816768
13964b7aa66c182
143c85b0dd0b040
151a868b5133cb5
hexc9193af0bdc0

221110200221120 has 112 divisors (see below), whose sum is σ = 601909499199168. Its totient is φ = 75787305000960.

The previous prime is 221110200221107. The next prime is 221110200221177. The reversal of 221110200221120 is 21122002011122.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 6507677 + ... + 22012956.

Almost surely, 2221110200221120 is an apocalyptic number.

221110200221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110200221120 is an abundant number, since it is smaller than the sum of its proper divisors (380799298978048).

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

221110200221120 is a wasteful number, since it uses less digits than its factorization.

221110200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28524118 (or 28524108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221110200221120 its reverse (21122002011122), we get a palindrome (242232202232242).

The spelling of 221110200221120 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 3461 6922 13844 17305 24227 27688 34610 48454 55376 69220 96908 110752 121135 138440 193816 221504 242270 276880 387632 484540 553760 775264 969080 1107520 1550528 1938160 3876320 7752640 28520633 57041266 114082532 142603165 199644431 228165064 285206330 399288862 456330128 570412660 798577724 912660256 998222155 1140825320 1597155448 1825320512 1996444310 2281650640 3194310896 3992888620 4563301280 6388621792 7985777240 9126602560 12777243584 15971554480 31943108960 63886217920 98709910813 197419821626 394839643252 493549554065 690969375691 789679286504 987099108130 1381938751382 1579358573008 1974198216260 2763877502764 3158717146016 3454846878455 3948396432520 5527755005528 6317434292032 6909693756910 7896792865040 11055510011056 13819387513820 15793585730080 22111020022112 27638775027640 31587171460160 44222040044224 55277550055280 110555100110560 221110200221120