Search a number
-
+
110133130313200 = 24521914491201357
BaseRepresentation
bin11001000010101001011110…
…000111000011110111110000
3112102221121212012201102011211
4121002221132013003313300
5103413410122330010300
61030122243412245504
732124566431513501
oct3102513607036760
9472847765642154
10110133130313200
113210121a995a25
1210428656610894
13495b681855707
141d2a687054ba8
15caec372ab4ba
hex642a5e1c3df0

110133130313200 has 60 divisors (see below), whose sum is σ = 278520890100760. Its totient is φ = 41734659905280.

The previous prime is 110133130313161. The next prime is 110133130313207. The reversal of 110133130313200 is 2313031331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110133130313207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7245593079 + ... + 7245608278.

Almost surely, 2110133130313200 is an apocalyptic number.

110133130313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110133130313200 is an abundant number, since it is smaller than the sum of its proper divisors (168387759787560).

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

110133130313200 is a wasteful number, since it uses less digits than its factorization.

110133130313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14491201394 (or 14491201383 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 110133130313200 its reverse (2313031331011), we get a palindrome (112446161644211).

The spelling of 110133130313200 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 14491201357 28982402714 57964805428 72456006785 115929610856 144912013570 231859221712 275332825783 289824027140 362280033925 550665651566 579648054280 724560067850 1101331303132 1159296108560 1376664128915 1449120135700 2202662606264 2753328257830 2898240271400 4405325212528 5506656515660 5796480542800 6883320644575 11013313031320 13766641289150 22026626062640 27533282578300 55066565156600 110133130313200