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10110022000122 = 23114120831793639
BaseRepresentation
bin1001001100011110110001…
…0001010001110111111010
31022210111201211000221200210
42103013230101101313322
52311120311113000442
633300251402211550
72062265525044122
oct223075421216772
938714654027623
1010110022000122
1132486aa940150
121173481ab3bb6
135844a9089045
1426d4831dbc82
15127eb8e3419c
hex931ec451dfa

10110022000122 has 64 divisors (see below), whose sum is σ = 22607095956480. Its totient is φ = 2987483452800.

The previous prime is 10110022000073. The next prime is 10110022000147. The reversal of 10110022000122 is 22100022001101.

It is a junction number, because it is equal to n+sod(n) for n = 10110022000098 and 10110022000107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4739779 + ... + 6533417.

It is an arithmetic number, because the mean of its divisors is an integer number (353235874320).

Almost surely, 210110022000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110022000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303547978240).

10110022000122 is an abundant number, since it is smaller than the sum of its proper divisors (12497073956358).

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

10110022000122 is a wasteful number, since it uses less digits than its factorization.

10110022000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795779.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10110022000122 its reverse (22100022001101), we get a palindrome (32210044001223).

The spelling of 10110022000122 in words is "ten trillion, one hundred ten billion, twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2083 2706 4166 6249 12498 22913 45826 68739 85403 137478 170806 256209 512418 939433 1793639 1878866 2818299 3587278 5380917 5636598 10761834 19730029 39460058 59190087 73539199 118380174 147078398 220617597 441235194 808931189 1617862378 2426793567 3736150037 4853587134 7472300074 11208450111 22416900222 41097650407 82195300814 123292951221 153182151517 246585902442 306364303034 459546454551 919092909102 1685003666687 3370007333374 5055011000061 10110022000122