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221002100121200 = 2452760797262257
BaseRepresentation
bin110010010000000000001111…
…101011000001111001110000
31001222111121001100021012101212
4302100000033223001321300
5212431344300112334300
62102010544015015252
764356606030665666
oct6220001753017160
91058447040235355
10221002100121200
1164466512007432
122095383020a528
13964154096c4c8
143c807b71a6c36
151a83b89c29935
hexc9000fac1e70

221002100121200 has 60 divisors (see below), whose sum is σ = 530964597683040. Its totient is φ = 88399665914880.

The previous prime is 221002100121151. The next prime is 221002100121203. The reversal of 221002100121200 is 2121001200122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002100121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26800472 + ... + 34062728.

It is an arithmetic number, because the mean of its divisors is an integer number (8849409961384).

Almost surely, 2221002100121200 is an apocalyptic number.

221002100121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002100121200 is an abundant number, since it is smaller than the sum of its proper divisors (309962497561840).

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

221002100121200 is a wasteful number, since it uses less digits than its factorization.

221002100121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338354 (or 7338343 counting only the distinct ones).

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

Adding to 221002100121200 its reverse (2121001200122), we get a palindrome (223123101321322).

The spelling of 221002100121200 in words is "two hundred twenty-one trillion, two billion, one hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 76079 152158 304316 380395 608632 760790 1217264 1521580 1901975 3043160 3803950 6086320 7262257 7607900 14524514 15215800 29049028 30431600 36311285 58098056 72622570 116196112 145245140 181556425 290490280 363112850 580980560 726225700 1452451400 2904902800 552505250303 1105010500606 2210021001212 2762526251515 4420042002424 5525052503030 8840084004848 11050105006060 13812631257575 22100210012120 27625262515150 44200420024240 55250525030300 110501050060600 221002100121200