Search a number
-
+
1120110032200 = 235259487194917
BaseRepresentation
bin10000010011001011110…
…000101011010101001000
310222002012101122020210011
4100103023300223111020
5121322441132012300
62214323233201304
7143632241116015
oct20231360532510
93862171566704
101120110032200
113a2043a03915
12161102700234
138181a1c9b03
143c2dc23270c
151e20b203eba
hex104cbc2b548

1120110032200 has 96 divisors (see below), whose sum is σ = 2653847553600. Its totient is φ = 439543376640.

The previous prime is 1120110032179. The next prime is 1120110032291. The reversal of 1120110032200 is 22300110211.

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, 5649142 + ... + 5844058.

It is an arithmetic number, because the mean of its divisors is an integer number (27644245350).

Almost surely, 21120110032200 is an apocalyptic number.

1120110032200 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 1120110032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326923776800).

1120110032200 is an abundant number, since it is smaller than the sum of its proper divisors (1533737521400).

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

1120110032200 is a wasteful number, since it uses less digits than its factorization.

1120110032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195479 (or 195470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1120110032200 its reverse (22300110211), we get a palindrome (1142410142411).

The spelling of 1120110032200 in words is "one trillion, one hundred twenty billion, one hundred ten million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 487 590 974 1180 1475 1948 2360 2435 2950 3896 4870 5900 9740 11800 12175 19480 24350 28733 48700 57466 97400 114932 143665 194917 229864 287330 389834 574660 718325 779668 974585 1149320 1436650 1559336 1949170 2873300 3898340 4872925 5746600 7796680 9745850 11500103 19491700 23000206 38983400 46000412 57500515 92000824 94924579 115001030 189849158 230002060 287502575 379698316 460004120 474622895 575005150 759396632 949245790 1150010300 1898491580 2300020600 2373114475 3796983160 4746228950 5600550161 9492457900 11201100322 18984915800 22402200644 28002750805 44804401288 56005501610 112011003220 140013754025 224022006440 280027508050 560055016100 1120110032200