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102222020120202 = 23237304950339953
BaseRepresentation
bin10111001111100001101011…
…001100101000111010001010
3111101221022220100012001221200
4113033201223030220322022
5101344301144122321302
61001224051525245030
730350203644422433
oct2717415314507212
9441838810161850
10102222020120202
112a63112a487404
12b56b38b863776
134506658a744b8
141b3580208048a
15bc4068ec681c
hex5cf86b328e8a

102222020120202 has 48 divisors (see below), whose sum is σ = 227541626075400. Its totient is φ = 33142213518336.

The previous prime is 102222020120189. The next prime is 102222020120203. The reversal of 102222020120202 is 202021020222201.

102222020120202 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 201 + 20 + 202 = 666.

102222020120202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83523496096161 + 18698524024041 = 9139119^2 + 4324179^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102222020120203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23139343 + ... + 27200610.

Almost surely, 2102222020120202 is an apocalyptic number.

102222020120202 is an abundant number, since it is smaller than the sum of its proper divisors (125319605955198).

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

102222020120202 is a wasteful number, since it uses less digits than its factorization.

102222020120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50343047 (or 50343044 counting only the distinct ones).

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

Adding to 102222020120202 its reverse (202021020222201), we get a palindrome (304243040342403).

The spelling of 102222020120202 in words is "one hundred two trillion, two hundred twenty-two billion, twenty million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3049 6098 9147 18294 27441 54882 112813 225626 338439 676878 1015317 2030634 50339953 100679906 151019859 302039718 453059577 906119154 1862578261 3725156522 5587734783 11175469566 16763204349 33526408698 153486516697 306973033394 460459550091 920919100182 1381378650273 2762757300546 5679001117789 11358002235578 17037003353367 34074006706734 51111010060101 102222020120202