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220201002222021 = 32374369122255049
BaseRepresentation
bin110010000100010110001010…
…100001000100000111000101
31001212200000021110020101212200
4302010112022201010013011
5212330233123032101041
62100154535514505113
764244666053130502
oct6204261241040705
91055600243211780
10220201002222021
11641877a2142847
122084451a135199
1395b3b333c9462
143c53add0cc4a9
151a6ce003691b6
hexc8458a8441c5

220201002222021 has 48 divisors (see below), whose sum is σ = 334745150625600. Its totient is φ = 139309478864640.

The previous prime is 220201002221999. The next prime is 220201002222109. The reversal of 220201002222021 is 120222200102022.

220201002222021 is a `hidden beast` number, since 220 + 20 + 1 + 0 + 0 + 222 + 202 + 1 = 666.

It is not a de Polignac number, because 220201002222021 - 25 = 220201002221989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220201002221985 and 220201002222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201002220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233096 + ... + 21021953.

It is an arithmetic number, because the mean of its divisors is an integer number (6973857304700).

Almost surely, 2220201002222021 is an apocalyptic number.

It is an amenable number.

220201002222021 is a deficient number, since it is larger than the sum of its proper divisors (114544148403579).

220201002222021 is a wasteful number, since it uses less digits than its factorization.

220201002222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22255826 (or 22255823 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220201002222021 its reverse (120222200102022), we get a palindrome (340423202324043).

The spelling of 220201002222021 in words is "two hundred twenty trillion, two hundred one billion, two million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 37 43 111 129 333 387 691 1591 2073 4773 6219 14319 25567 29713 76701 89139 230103 267417 1099381 3298143 9894429 22255049 66765147 200295441 823436813 956967107 2470310439 2870901321 7410931317 8612703963 15378238859 35407782959 46134716577 106223348877 138404149731 318670046631 568994837783 661264270937 1706984513349 1983792812811 5120953540047 5951378438433 24466778024669 73400334074007 220201002222021