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1110311310042 = 2321129892172659
BaseRepresentation
bin10000001010000011101…
…101100001001011011010
310221010220111121120221200
4100022003231201023122
5121142404143410132
62210023040415030
7143134356262644
oct20120355411332
93833814546850
101110311310042
11398975874930
1215b229017476
138091812346c
143ba4cb05894
151dd35d53d7c
hex10283b612da

1110311310042 has 96 divisors (see below), whose sum is σ = 2745373176000. Its totient is φ = 321205758720.

The previous prime is 1110311310037. The next prime is 1110311310061. The reversal of 1110311310042 is 2400131130111.

It is a happy number.

1110311310042 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 311 + 310 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110311309997 and 1110311310024.

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 47 ways as a sum of consecutive naturals, for example, 575292 + ... + 1597367.

It is an arithmetic number, because the mean of its divisors is an integer number (28597637250).

Almost surely, 21110311310042 is an apocalyptic number.

1110311310042 is an abundant number, since it is smaller than the sum of its proper divisors (1635061865958).

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

1110311310042 is a wasteful number, since it uses less digits than its factorization.

1110311310042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172796 (or 2172793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1110311310042 its reverse (2400131130111), we get a palindrome (3510442440153).

The spelling of 1110311310042 in words is "one trillion, one hundred ten billion, three hundred eleven million, three hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 89 99 174 178 198 261 267 319 522 534 638 801 957 979 1602 1914 1958 2581 2871 2937 5162 5742 5874 7743 8811 15486 17622 23229 28391 46458 56782 85173 170346 255519 511038 2172659 4345318 6517977 13035954 19553931 23899249 39107862 47798498 63007111 71697747 126014222 143395494 189021333 193366651 215093241 378042666 386733302 430186482 567063999 580099953 693078221 1134127998 1160199906 1386156442 1740299859 2079234663 2127033161 3480599718 4158469326 4254066322 5607632879 6237703989 6381099483 11215265758 12475407978 12762198966 16822898637 19143298449 33645797274 38286596898 50468695911 61683961669 100937391822 123367923338 185051885007 370103770014 555155655021 1110311310042