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102210120210222 = 23317111340000229
BaseRepresentation
bin10111001111010110100101…
…111010000101011100101110
3111101220012012000102000022000
4113033112211322011130232
5101344102311233211342
61001214403033033130
730346303030024353
oct2717264572053456
9441805160360260
10102210120210222
112a627083278962
12b56900a5557a6
1345054b058544b
141b34dd387862a
15bc3abe42744c
hex5cf5a5e8572e

102210120210222 has 32 divisors (see below), whose sum is σ = 240494400496800. Its totient is φ = 32065920065664.

The previous prime is 102210120210179. The next prime is 102210120210223. The reversal of 102210120210222 is 222012021012201.

It is a happy number.

102210120210222 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 1 + 20 + 210 + 222 = 666.

It is a super-3 number, since 3×1022101202102223 (a number of 43 digits) contains 333 as substring.

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 = 102210120210195 and 102210120210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210120210223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55669999197 + ... + 55670001032.

It is an arithmetic number, because the mean of its divisors is an integer number (7515450015525).

Almost surely, 2102210120210222 is an apocalyptic number.

102210120210222 is an abundant number, since it is smaller than the sum of its proper divisors (138284280286578).

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

102210120210222 is a wasteful number, since it uses less digits than its factorization.

102210120210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111340000257 (or 111340000251 counting only the distinct ones).

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

Adding to 102210120210222 its reverse (222012021012201), we get a palindrome (324222141222423).

The spelling of 102210120210222 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 111340000229 222680000458 334020000687 668040001374 1002060002061 1892780003893 2004120004122 3006180006183 3785560007786 5678340011679 6012360012366 11356680023358 17035020035037 34070040070074 51105060105111 102210120210222