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1000122101110 = 2511217108744729
BaseRepresentation
bin11101000110110111110…
…11000010110101110110
310112121111020011210201101
432203123323002311312
5112341222224213420
62043241051320314
7132153646410646
oct16433373026566
93477436153641
101000122101110
11356170942300
121419b6a5009a
1373407679c12
143659874c526
151b03733460a
hexe8dbec2d76

1000122101110 has 96 divisors (see below), whose sum is σ = 2097125614080. Its totient is φ = 341965240320.

The previous prime is 1000122101101. The next prime is 1000122101171. The reversal of 1000122101110 is 111012210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22337226 + ... + 22381954.

It is an arithmetic number, because the mean of its divisors is an integer number (21845058480).

Almost surely, 21000122101110 is an apocalyptic number.

1000122101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000122101110 is an abundant number, since it is smaller than the sum of its proper divisors (1097003512970).

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

1000122101110 is a wasteful number, since it uses less digits than its factorization.

1000122101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45862 (or 45851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000122101110 its reverse (111012210001), we get a palindrome (1111134311111).

The spelling of 1000122101110 in words is "one trillion, one hundred twenty-two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1087 1210 1870 2057 2174 4114 5435 10285 10870 11957 18479 20570 23914 36958 44729 59785 89458 92395 119570 131527 184790 203269 223645 263054 406538 447290 492019 657635 760393 984038 1016345 1315270 1520786 2032690 2235959 2460095 3801965 4471918 4920190 5412209 7603930 8364323 10824418 11179795 16728646 22359590 27061045 41821615 48620423 54122090 83643230 92007553 97240846 184015106 243102115 460037765 486204230 534824653 826547191 920075530 1069649306 1653094382 2674123265 4132735955 5348246530 5883071183 8265471910 9092019101 11766142366 18184038202 29415355915 45460095505 58830711830 90920191010 100012210111 200024420222 500061050555 1000122101110