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102202122210201 = 331310115711835081
BaseRepresentation
bin10111001111001111001001…
…001100001000101110011001
3111101212102112121202111212000
4113033033021030020232121
5101343434421241211301
61001211001244111213
730345600602114136
oct2717171114105631
9441772477674760
10102202122210201
112a623749647092
12b567557b35509
134504807592760
141b3487557158d
15bc37a21c4786
hex5cf3c9308b99

102202122210201 has 64 divisors (see below), whose sum is σ = 164776857396480. Its totient is φ = 62231232960000.

The previous prime is 102202122210197. The next prime is 102202122210241. The reversal of 102202122210201 is 102012221202201.

It is a happy number.

102202122210201 is a `hidden beast` number, since 1 + 0 + 220 + 21 + 2 + 221 + 0 + 201 = 666.

It is not a de Polignac number, because 102202122210201 - 22 = 102202122210197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102202122210241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54775981 + ... + 56611061.

It is an arithmetic number, because the mean of its divisors is an integer number (2574638396820).

Almost surely, 2102202122210201 is an apocalyptic number.

It is an amenable number.

102202122210201 is a deficient number, since it is larger than the sum of its proper divisors (62574735186279).

102202122210201 is a wasteful number, since it uses less digits than its factorization.

102202122210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836775 (or 1836769 counting only the distinct ones).

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

Adding to 102202122210201 its reverse (102012221202201), we get a palindrome (204214343412402).

The spelling of 102202122210201 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 13 27 39 101 117 303 351 909 1313 1571 2727 3939 4713 11817 14139 20423 35451 42417 61269 158671 183807 476013 551421 1428039 1835081 2062723 4284117 5505243 6188169 16515729 18564507 23856053 49547187 55693521 71568159 185343181 214704477 556029543 644113431 1668088629 2409461353 2882912251 5004265887 7228384059 8648736753 21685152177 25946210259 37477859263 65055456531 77838630777 112433577789 291174137351 337300733367 873522412053 1011902200101 2620567236159 3785263785563 7861701708477 11355791356689 34067374070067 102202122210201