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220222101200121 = 3531641178325579
BaseRepresentation
bin110010000100101001110100…
…000111010001110011111001
31001212202000201212200112200000
4302010221310013101303321
5212331104330401400441
62100212345303103213
764246343651363256
oct6204516407216371
91055660655615600
10220222101200121
1164195739a49329
1220848628141b09
1395b5b16687897
143c54b4132842d
151a6d7378182b6
hexc84a741d1cf9

220222101200121 has 96 divisors (see below), whose sum is σ = 341257166315520. Its totient is φ = 141772019558400.

The previous prime is 220222101200117. The next prime is 220222101200159. The reversal of 220222101200121 is 121002101222022.

It is a happy number.

220222101200121 is a `hidden beast` number, since 2 + 20 + 222 + 101 + 200 + 121 = 666.

It is not a de Polignac number, because 220222101200121 - 22 = 220222101200117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220222101200094 and 220222101200103.

It is not an unprimeable number, because it can be changed into a prime (220222101200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8609475510 + ... + 8609501088.

It is an arithmetic number, because the mean of its divisors is an integer number (3554762149120).

Almost surely, 2220222101200121 is an apocalyptic number.

It is an amenable number.

220222101200121 is a deficient number, since it is larger than the sum of its proper divisors (121035065115399).

220222101200121 is a wasteful number, since it uses less digits than its factorization.

220222101200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28049 (or 28037 counting only the distinct ones).

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

Adding to 220222101200121 its reverse (121002101222022), we get a palindrome (341224202422143).

The spelling of 220222101200121 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 81 93 243 279 641 837 1783 1923 2511 5349 5769 7533 16047 17307 19871 25579 48141 51921 55273 59613 76737 144423 155763 165819 178839 230211 433269 497457 536517 690633 792949 1142903 1492371 1609551 2071899 2378847 3428709 4477113 4828653 6215697 7136541 10286127 13431339 16396139 21409623 30858381 35429993 45607357 49188417 64228869 92575143 106289979 136822071 147565251 192686607 277725429 318869937 410466213 442695753 508280309 956609811 1231398639 1328087259 1413828067 1524840927 2869829433 3694195917 3984261777 4241484201 4574522781 8609488299 11082587751 12724452603 13723568343 29234315837 38173357809 41170705029 87702947511 114520073427 123512115087 263108842533 343560220281 789326527599 906263790947 2367979582797 2718791372841 7103938748391 8156374118523 24469122355569 73407367066707 220222101200121