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102010221210222 = 232131493694942019
BaseRepresentation
bin10111001100011100011010…
…111111111010101001101110
3111101012002012201011122202100
4113030130122333322221232
5101332313413112211342
61000542503151435530
730325665243406113
oct2714343277725156
9441162181148670
10102010221210222
112a55a323521536
12b536320825ba6
1344bc6a4169cb0
141b2946cd6890a
15bbd7beca3e4c
hex5cc71affaa6e

102010221210222 has 96 divisors (see below), whose sum is σ = 238223221236000. Its totient is φ = 31361476859136.

The previous prime is 102010221210173. The next prime is 102010221210239. The reversal of 102010221210222 is 222012122010201.

It is a happy number.

102010221210222 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 10 + 221 + 210 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102010221210195 and 102010221210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2427695529 + ... + 2427737547.

It is an arithmetic number, because the mean of its divisors is an integer number (2481491887875).

Almost surely, 2102010221210222 is an apocalyptic number.

102010221210222 is an abundant number, since it is smaller than the sum of its proper divisors (136213000025778).

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

102010221210222 is a wasteful number, since it uses less digits than its factorization.

102010221210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50482 (or 50479 counting only the distinct ones).

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

Adding to 102010221210222 its reverse (222012122010201), we get a palindrome (324022343220423).

The spelling of 102010221210222 in words is "one hundred two trillion, ten billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1493 2986 4479 6949 8958 13437 13898 19409 20847 26874 38818 41694 42019 58227 62541 84038 90337 116454 125082 126057 174681 180674 252114 271011 349362 378171 542022 546247 756342 813033 1092494 1626066 1638741 3277482 4916223 9832446 10374857 20749714 31124571 62249142 62734367 93373713 125468734 134873141 186747426 188203101 269746282 291990031 376406202 404619423 564609303 583980062 809238846 815546771 875970093 1129218606 1213858269 1631093542 1751940186 2427716538 2446640313 2627910279 3795870403 4893280626 5255820558 7339920939 7591740806 11387611209 14679841878 22775222418 34162833627 68325667254 435941116283 871882232566 1307823348849 2615646697698 3923470046547 5667234511679 7846940093094 11334469023358 17001703535037 34003407070074 51005110605111 102010221210222