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221220200110100 = 225237471272111559
BaseRepresentation
bin110010010011001011010111…
…011100011101100000010100
31002000021110000002212120220112
4302103023113130131200110
5212443432432212010400
62102255053522422152
764411426533212642
oct6223132734354024
91060243002776815
10221220200110100
116453aa61844144
1220989b59501958
139658c8ab2a689
143c8b1870a2192
151a896a2208835
hexc932d771d814

221220200110100 has 72 divisors (see below), whose sum is σ = 503511932340480. Its totient is φ = 84264669601920.

The previous prime is 221220200110079. The next prime is 221220200110109. The reversal of 221220200110100 is 1011002022122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220200110109) by changing a digit.

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, 635881880 + ... + 636229679.

Almost surely, 2221220200110100 is an apocalyptic number.

221220200110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220200110100 is an abundant number, since it is smaller than the sum of its proper divisors (282291732230380).

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

221220200110100 is a wasteful number, since it uses less digits than its factorization.

221220200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272111657 (or 1272111650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221220200110100 its reverse (1011002022122), we get a palindrome (222231202132222).

The spelling of 221220200110100 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 47 50 74 94 100 148 185 188 235 370 470 740 925 940 1175 1739 1850 2350 3478 3700 4700 6956 8695 17390 34780 43475 86950 173900 1272111559 2544223118 5088446236 6360557795 12721115590 25442231180 31802788975 47068127683 59789243273 63605577950 94136255366 119578486546 127211155900 188272510732 235340638415 239156973092 298946216365 470681276830 597892432730 941362553660 1176703192075 1195784865460 1494731081825 2212202001101 2353406384150 2989462163650 4424404002202 4706812768300 5978924327300 8848808004404 11061010005505 22122020011010 44244040022020 55305050027525 110610100055050 221220200110100