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1111314121024 = 26194136760737
BaseRepresentation
bin10000001010111111011…
…110111100000101000000
310221020111101120200000011
4100022333132330011000
5121201432403333044
62210310342234304
7143201254112062
oct20127736740500
93836441520004
101111314121024
1139933a938638
1215b468a25994
1380a47b05c43
143bb05d85732
151dd93ddd134
hex102bf7bc140

1111314121024 has 112 divisors (see below), whose sum is σ = 2384466981120. Its totient is φ = 512164823040.

The previous prime is 1111314120991. The next prime is 1111314121063. The reversal of 1111314121024 is 4201214131111.

It is a junction number, because it is equal to n+sod(n) for n = 1111314120986 and 1111314121004.

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 15 ways as a sum of consecutive naturals, for example, 18266784 + ... + 18327520.

It is an arithmetic number, because the mean of its divisors is an integer number (21289883760).

Almost surely, 21111314121024 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 1111314121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192233490560).

1111314121024 is an abundant number, since it is smaller than the sum of its proper divisors (1273152860096).

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

1111314121024 is a wasteful number, since it uses less digits than its factorization.

1111314121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61176 (or 61166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 1111314121024 its reverse (4201214131111), we get a palindrome (5312528252135).

The spelling of 1111314121024 in words is "one trillion, one hundred eleven billion, three hundred fourteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 367 608 656 734 779 1216 1312 1468 1558 2624 2936 3116 5872 6232 6973 11744 12464 13946 15047 23488 24928 27892 30094 49856 55784 60188 60737 111568 120376 121474 223136 240752 242948 285893 446272 481504 485896 571786 963008 971792 1143572 1154003 1943584 2287144 2308006 2490217 3887168 4574288 4616012 4980434 9148576 9232024 9960868 18297152 18464048 19921736 22290479 36928096 39843472 44580958 47314123 73856192 79686944 89161916 94628246 159373888 178323832 189256492 356647664 378512984 423519101 713295328 757025968 847038202 913909639 1426590656 1514051936 1694076404 1827819278 3028103872 3388152808 3655638556 6776305616 7311277112 13552611232 14622554224 17364283141 27105222464 29245108448 34728566282 58490216896 69457132564 138914265128 277828530256 555657060512 1111314121024