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10220202120222 = 23231118715430307
BaseRepresentation
bin1001010010111001001110…
…0001000101010000011110
31100012001010110100222101200
42110232103201011100132
52314421433220321342
633423032424420330
72103246064443063
oct224562341052036
940161113328350
1010220202120222
1132903aa725146
1211908b10176a6
135919b799c693
142749362aac6a
1512acb6c5a94c
hex94b9384541e

10220202120222 has 48 divisors (see below), whose sum is σ = 22877344968192. Its totient is φ = 3294061724880.

The previous prime is 10220202120211. The next prime is 10220202120239. The reversal of 10220202120222 is 22202120202201.

10220202120222 is a `hidden beast` number, since 1 + 0 + 220 + 202 + 1 + 20 + 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 = 10220202120195 and 10220202120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7052808 + ... + 8377499.

It is an arithmetic number, because the mean of its divisors is an integer number (476611353504).

Almost surely, 210220202120222 is an apocalyptic number.

10220202120222 is an abundant number, since it is smaller than the sum of its proper divisors (12657142847970).

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

10220202120222 is a wasteful number, since it uses less digits than its factorization.

10220202120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15431533 (or 15431530 counting only the distinct ones).

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

Adding to 10220202120222 its reverse (22202120202201), we get a palindrome (32422322322423).

The spelling of 10220202120222 in words is "ten trillion, two hundred twenty billion, two hundred two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1187 2374 3561 7122 10683 21366 36797 73594 110391 220782 331173 662346 15430307 30860614 46290921 92581842 138872763 277745526 478339517 956679034 1435018551 2870037102 4305055653 8610111306 18315774409 36631548818 54947323227 109894646454 164841969681 329683939362 567789006679 1135578013358 1703367020037 3406734040074 5110101060111 10220202120222