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1110122011012 = 2273161206310163
BaseRepresentation
bin10000001001111000011…
…011011001100110000100
310221010102022102012111111
4100021320123121212010
5121142012213323022
62205552155214404
7143126600254510
oct20117033314604
93833368365444
101110122011012
11398888a30753
1215b195747404
13808b7b44ac1
143ba3190b140
151dd24410477
hex102786d9984

1110122011012 has 96 divisors (see below), whose sum is σ = 2330794819584. Its totient is φ = 452607350400.

The previous prime is 1110122011007. The next prime is 1110122011081. The reversal of 1110122011012 is 2101102210111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110122010983 and 1110122011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109226643 + ... + 109236805.

It is an arithmetic number, because the mean of its divisors is an integer number (24279112704).

Almost surely, 21110122011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110122011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165397409792).

1110122011012 is an abundant number, since it is smaller than the sum of its proper divisors (1220672808572).

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

1110122011012 is a wasteful number, since it uses less digits than its factorization.

1110122011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1110122011012 its reverse (2101102210111), we get a palindrome (3211224221123).

The spelling of 1110122011012 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 31 61 62 122 124 217 244 427 434 854 868 1708 1891 2063 3782 4126 7564 8252 10163 13237 14441 20326 26474 28882 40652 52948 57764 63953 71141 125843 127906 142282 251686 255812 284564 315053 447671 503372 619943 630106 880901 895342 1239886 1260212 1761802 1790684 2205371 2479772 3523604 3901133 4339601 4410742 7802266 8679202 8821484 15604532 17358404 19218233 20966269 27307931 38436466 41932538 54615862 76872932 83865076 109231724 134527631 146763883 269055262 293527766 538110524 587055532 649954339 1278942409 1299908678 2557884818 2599817356 4549680373 5115769636 8952596863 9099360746 17905193726 18198721492 35810387452 39647214679 79294429358 158588858716 277530502753 555061005506 1110122011012