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221120012200100 = 225213295865252313
BaseRepresentation
bin110010010001101110000011…
…110001111010100010100100
31001222220212101211122102121012
4302101232003301322202210
5212440312241110400400
62102141044204041352
764401252015062606
oct6221560361724244
91058825354572535
10221120012200100
116450151a333522
1220972658833258
13964c6b24078b0
143c863a10c9176
151a86c8b751d35
hexc91b83c7a8a4

221120012200100 has 72 divisors (see below), whose sum is σ = 534559095897960. Its totient is φ = 78828991073280.

The previous prime is 221120012200079. The next prime is 221120012200181. The reversal of 221120012200100 is 1002210021122.

It can be written as a sum of positive squares in 12 ways, for example, as 103913925417124 + 117206086782976 = 10193818^2 + 10826176^2 .

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, 2932588457 + ... + 2932663856.

Almost surely, 2221120012200100 is an apocalyptic number.

221120012200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120012200100 is an abundant number, since it is smaller than the sum of its proper divisors (313439083697860).

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

221120012200100 is a wasteful number, since it uses less digits than its factorization.

221120012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865252369 (or 5865252362 counting only the distinct ones).

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

Adding to 221120012200100 its reverse (1002210021122), we get a palindrome (222122222221222).

The spelling of 221120012200100 in words is "two hundred twenty-one trillion, one hundred twenty billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 37700 5865252313 11730504626 23461009252 29326261565 58652523130 76248280069 117305046260 146631307825 152496560138 170092317077 293262615650 304993120276 340184634154 381241400345 586525231300 680369268308 762482800690 850461585385 1524965601380 1700923170770 1906207001725 2211200122001 3401846341540 3812414003450 4252307926925 4422400244002 7624828006900 8504615853850 8844800488004 11056000610005 17009231707700 22112001220010 44224002440020 55280003050025 110560006100050 221120012200100