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221002101112100 = 225271128701571573
BaseRepresentation
bin110010010000000000001111…
…101110110011110100100100
31001222111121001102010112122212
4302100000033232303310210
5212431344300341041400
62102010544052142552
764356606042263630
oct6220001756636444
91058447042115585
10221002101112100
1164466512623960
1220953830607a58
139641540c28539
143c807b7383dc0
151a83b89d73335
hexc9000fbb3d24

221002101112100 has 72 divisors (see below), whose sum is σ = 597911139029568. Its totient is φ = 68883771772800.

The previous prime is 221002101112027. The next prime is 221002101112139. The reversal of 221002101112100 is 1211101200122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14350778087 + ... + 14350793486.

Almost surely, 2221002101112100 is an apocalyptic number.

221002101112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002101112100 is an abundant number, since it is smaller than the sum of its proper divisors (376909037917468).

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

221002101112100 is a wasteful number, since it uses less digits than its factorization.

221002101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28701571605 (or 28701571598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221002101112100 its reverse (1211101200122), we get a palindrome (222213202312222).

The spelling of 221002101112100 in words is "two hundred twenty-one trillion, two billion, one hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28701571573 57403143146 114806286292 143507857865 200911001011 287015715730 315717287303 401822002022 574031431460 631434574606 717539289325 803644004044 1004555005055 1262869149212 1435078578650 1578586436515 2009110010110 2210021011121 2870157157300 3157172873030 4018220020220 4420042022242 5022775025275 6314345746060 7892932182575 8840084044484 10045550050550 11050105055605 15785864365150 20091100101100 22100210111210 31571728730300 44200420222420 55250525278025 110501050556050 221002101112100