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110013202313144 = 231320892143236293
BaseRepresentation
bin11001000000111001110001…
…110110000010111110111000
3112102112011022020000210000222
4121000321301312002332320
5103404424014243010034
61025551211211115212
732113122465364454
oct3100716166027670
9472464266023028
10110013202313144
1132065378738499
1210409366a42b08
13495027b55a280
141d2494b4d1664
15caba687c912e
hex640e71d82fb8

110013202313144 has 64 divisors (see below), whose sum is σ = 222353032070400. Its totient is φ = 50727121191936.

The previous prime is 110013202313101. The next prime is 110013202313173. The reversal of 110013202313144 is 441313202310011.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465461462 + ... + 465697754.

It is an arithmetic number, because the mean of its divisors is an integer number (3474266126100).

Almost surely, 2110013202313144 is an apocalyptic number.

It is an amenable number.

110013202313144 is an abundant number, since it is smaller than the sum of its proper divisors (112339829757256).

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

110013202313144 is a wasteful number, since it uses less digits than its factorization.

110013202313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240544 (or 240540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 110013202313144 its reverse (441313202310011), we get a palindrome (551326404623155).

The spelling of 110013202313144 in words is "one hundred ten trillion, thirteen billion, two hundred two million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 2089 2143 4178 4286 8356 8572 16712 17144 27157 27859 54314 55718 108628 111436 217256 222872 236293 472586 945172 1890344 3071809 4476727 6143618 8953454 12287236 17906908 24574472 35813816 58197451 116394902 232789804 465579608 493616077 506375899 987232154 1012751798 1974464308 2025503596 3948928616 4051007192 6417009001 6582886687 12834018002 13165773374 25668036004 26331546748 51336072008 52663093496 1057819253011 2115638506022 4231277012044 8462554024088 13751650289143 27503300578286 55006601156572 110013202313144