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1120031013200 = 245211929274007
BaseRepresentation
bin10000010011000111000…
…011001111100101010000
310222001222212221200002112
4100103013003033211100
5121322310414410300
62214311331404452
7143630261346641
oct20230703174520
93861885850075
101120031013200
113a2003342760
121610a0153728
1381806a210c8
143c2d19436c8
151e2042e5e35
hex104c70cf950

1120031013200 has 120 divisors (see below), whose sum is σ = 2938670038080. Its totient is φ = 406844108800.

The previous prime is 1120031013193. The next prime is 1120031013217. The reversal of 1120031013200 is 23101300211.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3950597 + ... + 4224603.

It is an arithmetic number, because the mean of its divisors is an integer number (24488916984).

Almost surely, 21120031013200 is an apocalyptic number.

1120031013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120031013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469335019040).

1120031013200 is an abundant number, since it is smaller than the sum of its proper divisors (1818639024880).

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

1120031013200 is a wasteful number, since it uses less digits than its factorization.

1120031013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274965 (or 274954 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1120031013200 its reverse (23101300211), we get a palindrome (1143132313411).

The spelling of 1120031013200 in words is "one trillion, one hundred twenty billion, thirty-one million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 929 1100 1858 2200 3716 4400 4645 7432 9290 10219 14864 18580 20438 23225 37160 40876 46450 51095 74320 81752 92900 102190 163504 185800 204380 255475 274007 371600 408760 510950 548014 817520 1021900 1096028 1370035 2043800 2192056 2740070 3014077 4087600 4384112 5480140 6028154 6850175 10960280 12056308 13700350 15070385 21920560 24112616 27400700 30140770 48225232 54801400 60281540 75351925 109602800 120563080 150703850 241126160 254552503 301407700 509105006 602815400 1018210012 1205630800 1272762515 2036420024 2545525030 2800077533 4072840048 5091050060 5600155066 6363812575 10182100120 11200310132 12727625150 14000387665 20364200240 22400620264 25455250300 28000775330 44801240528 50910500600 56001550660 70001938325 101821001200 112003101320 140003876650 224006202640 280007753300 560015506600 1120031013200