Search a number
-
+
110042021424312 = 23321939178818081
BaseRepresentation
bin11001000001010100100111…
…100110001110110010111000
3112102121220200200021022110200
4121001110213212032302320
5103410412024441034222
61030012335020442200
732115162605652645
oct3101244746166270
9472556620238420
10110042021424312
113207661733923a
1210412a6a3a9360
134952bc208c883
141d260c2b82dcc
15cac6a38deeac
hex64152798ecb8

110042021424312 has 48 divisors (see below), whose sum is σ = 298045847998080. Its totient is φ = 36678781708800.

The previous prime is 110042021424233. The next prime is 110042021424341. The reversal of 110042021424312 is 213424120240011.

110042021424312 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 202 + 1 + 424 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38012889 + ... + 40805192.

It is an arithmetic number, because the mean of its divisors is an integer number (6209288499960).

Almost surely, 2110042021424312 is an apocalyptic number.

110042021424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110042021424312 is an abundant number, since it is smaller than the sum of its proper divisors (188003826573768).

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

110042021424312 is a wasteful number, since it uses less digits than its factorization.

110042021424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78837484 (or 78837477 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110042021424312 its reverse (213424120240011), we get a palindrome (323466141664323).

The spelling of 110042021424312 in words is "one hundred ten trillion, forty-two billion, twenty-one million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19391 38782 58173 77564 116346 155128 174519 232692 349038 465384 698076 1396152 78818081 157636162 236454243 315272324 472908486 630544648 709362729 945816972 1418725458 1891633944 2837450916 5674901832 1528361408671 3056722817342 4585084226013 6113445634684 9170168452026 12226891269368 13755252678039 18340336904052 27510505356078 36680673808104 55021010712156 110042021424312