Search a number
-
+
110145223151298 = 232311050118797531
BaseRepresentation
bin11001000010110100101110…
…111001100100111011000010
3112102222210001222112020110100
4121002310232321210323002
5103414104404111320143
61030132003355543230
732125505211113316
oct3102645671447302
9472883058466410
10110145223151298
1132106365a971a5
121042aa7045ab16
13495c85acc3c0a
141d2b0b311bb46
15cb01e3c696d3
hex642d2ee64ec2

110145223151298 has 48 divisors (see below), whose sum is σ = 246369777967872. Its totient is φ = 35527331700000.

The previous prime is 110145223151237. The next prime is 110145223151323. The reversal of 110145223151298 is 892151322541011.

110145223151298 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 522 + 31 + 5 + 1 + 2 + 98 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3539208 + ... + 15258323.

It is an arithmetic number, because the mean of its divisors is an integer number (5132703707664).

Almost surely, 2110145223151298 is an apocalyptic number.

110145223151298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

110145223151298 is an abundant number, since it is smaller than the sum of its proper divisors (136224554816574).

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

110145223151298 is a wasteful number, since it uses less digits than its factorization.

110145223151298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18808071 (or 18808068 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 110145223151298 in words is "one hundred ten trillion, one hundred forty-five billion, two hundred twenty-three million, one hundred fifty-one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 10501 21002 31503 63006 94509 189018 325531 651062 976593 1953186 2929779 5859558 18797531 37595062 56392593 112785186 169177779 338355558 582723461 1165446922 1748170383 3496340766 5244511149 10489022298 197392873031 394785746062 592178619093 1184357238186 1776535857279 3553071714558 6119179063961 12238358127922 18357537191883 36715074383766 55072611575649 110145223151298