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1012022110110 = 2351197104930139
BaseRepresentation
bin11101011101000010011…
…01111110011110011110
310120202012120010220012110
432232201031332132132
5113040110130010420
62052525550014450
7133054565000514
oct16564115763636
93522176126173
101012022110110
11360218109190
121441781a7426
1374582ba206b
1436da6d7c4b4
151b4d1e02ee0
hexeba137e79e

1012022110110 has 128 divisors (see below), whose sum is σ = 2679614784000. Its totient is φ = 242569912320.

The previous prime is 1012022110091. The next prime is 1012022110129. The reversal of 1012022110110 is 110112202101.

It is an interprime number because it is at equal distance from previous prime (1012022110091) and next prime (1012022110129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33563421 + ... + 33593559.

It is an arithmetic number, because the mean of its divisors is an integer number (20934490500).

Almost surely, 21012022110110 is an apocalyptic number.

1012022110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012022110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339807392000).

1012022110110 is an abundant number, since it is smaller than the sum of its proper divisors (1667592673890).

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

1012022110110 is a wasteful number, since it uses less digits than its factorization.

1012022110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012022110110 its reverse (110112202101), we get a palindrome (1122134312211).

The spelling of 1012022110110 in words is "one trillion, twelve billion, twenty-two million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1049 1067 1455 2098 2134 2910 3147 3201 5245 5335 6294 6402 10490 10670 11539 15735 16005 23078 30139 31470 32010 34617 57695 60278 69234 90417 101753 115390 150695 173085 180834 203506 301390 305259 331529 346170 452085 508765 610518 663058 904170 994587 1017530 1119283 1526295 1657645 1989174 2238566 2923483 3052590 3315290 3357849 4972935 5596415 5846966 6715698 8770449 9945870 11192830 14617415 16789245 17540898 29234830 31615811 32158313 33578490 43852245 63231622 64316626 87704490 94847433 96474939 158079055 160791565 189694866 192949878 316158110 321583130 347773921 474237165 482374695 695547842 948474330 964749390 1043321763 1738869605 2086643526 3066733667 3477739210 5216608815 6133467334 9200201001 10433217630 15333668335 18400402002 30667336670 33734070337 46001005005 67468140674 92002010010 101202211011 168670351685 202404422022 337340703370 506011055055 1012022110110