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220202011121220 = 223251223344506229
BaseRepresentation
bin110010000100010111000110…
…101001101101011001000100
31001212200002212202122210101200
4302010113012221231121010
5212330242204321334340
62100155223555022500
764245033053464542
oct6204270651553104
91055602782583350
10220202011121220
116418816a694737
122084475bb9aa30
1395b3c6443112b
143c53b970b4d92
151a6ce5dc07330
hexc845c6a6d644

220202011121220 has 36 divisors (see below), whose sum is σ = 667946100401580. Its totient is φ = 58720536298944.

The previous prime is 220202011121161. The next prime is 220202011121237. The reversal of 220202011121220 is 22121110202022.

It is a happy number.

220202011121220 is a `hidden beast` number, since 220 + 2 + 0 + 201 + 1 + 1 + 21 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77893192306944 + 142308818814276 = 8825712^2 + 11929326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220202011121193 and 220202011121202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611672252935 + ... + 611672253294.

Almost surely, 2220202011121220 is an apocalyptic number.

220202011121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202011121220 is an abundant number, since it is smaller than the sum of its proper divisors (447744089280360).

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

220202011121220 is a wasteful number, since it uses less digits than its factorization.

220202011121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223344506244 (or 1223344506239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220202011121220 its reverse (22121110202022), we get a palindrome (242323121323242).

The spelling of 220202011121220 in words is "two hundred twenty trillion, two hundred two billion, eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1223344506229 2446689012458 3670033518687 4893378024916 6116722531145 7340067037374 11010100556061 12233445062290 14680134074748 18350167593435 22020201112122 24466890124580 36700335186870 44040402224244 55050502780305 73400670373740 110101005560610 220202011121220