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220116605241 = 31397523311119
BaseRepresentation
bin1100110011111111111…
…0001101100100111001
3210001011022020010001210
43030333332031210321
512101244322331431
6245041542433333
721621460162611
oct3147776154471
9701138203053
10220116605241
11853950a3495
12367b0732849
13179abc027a0
14a921a7ba41
155ad4574d46
hex333ff8d939

220116605241 has 32 divisors (see below), whose sum is σ = 319413015040. Its totient is φ = 134022242304.

The previous prime is 220116605239. The next prime is 220116605263. The reversal of 220116605241 is 142506611022.

It is not a de Polignac number, because 220116605241 - 21 = 220116605239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220116605199 and 220116605208.

It is not an unprimeable number, because it can be changed into a prime (220116605201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19790880 + ... + 19801998.

It is an arithmetic number, because the mean of its divisors is an integer number (9981656720).

Almost surely, 2220116605241 is an apocalyptic number.

It is an amenable number.

220116605241 is a deficient number, since it is larger than the sum of its proper divisors (99296409799).

220116605241 is a wasteful number, since it uses less digits than its factorization.

220116605241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16465.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 220116605241 in words is "two hundred twenty billion, one hundred sixteen million, six hundred five thousand, two hundred forty-one".

Divisors: 1 3 13 39 97 291 1261 3783 5233 11119 15699 33357 68029 144547 204087 433641 507601 1078543 1522803 3235629 6598813 14021059 19796439 42063177 58185727 174557181 756414451 2269243353 5644015519 16932046557 73372201747 220116605241