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221002112201120 = 2556122643659037
BaseRepresentation
bin110010010000000000010000…
…011001000111000110100000
31001222111121002011222220221022
4302100000100121013012200
5212431344311210413440
62102010545125545012
764356606235450265
oct6220002031070640
91058447064886838
10221002112201120
1164466518908238
1220953834275168
13964154330b9a3
143c807b8a2d26c
151a83b8ad13cb5
hexc900106471a0

221002112201120 has 48 divisors (see below), whose sum is σ = 530676793214568. Its totient is φ = 86951650698240.

The previous prime is 221002112201119. The next prime is 221002112201137. The reversal of 221002112201120 is 21102211200122.

It can be written as a sum of positive squares in 4 ways, for example, as 75246811458064 + 145755300743056 = 8674492^2 + 12072916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11321819759 + ... + 11321839278.

Almost surely, 2221002112201120 is an apocalyptic number.

221002112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002112201120 is an abundant number, since it is smaller than the sum of its proper divisors (309674681013448).

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

221002112201120 is a wasteful number, since it uses less digits than its factorization.

221002112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22643659113 (or 22643659105 counting only the distinct ones).

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

Adding to 221002112201120 its reverse (21102211200122), we get a palindrome (242104323401242).

The spelling of 221002112201120 in words is "two hundred twenty-one trillion, two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 22643659037 45287318074 90574636148 113218295185 181149272296 226436590370 362298544592 452873180740 724597089184 905746361480 1381263201257 1811492722960 2762526402514 3622985445920 5525052805028 6906316006285 11050105610056 13812632012570 22100211220112 27625264025140 44200422440224 55250528050280 110501056100560 221002112201120