Search a number
-
+
1130313130200 = 2332525031248413
BaseRepresentation
bin10000011100101011111…
…010011010000011011000
311000001112110120022222200
4100130223322122003120
5122004340130131300
62223131513050200
7144443133040302
oct20345372320330
94001473508880
101130313130200
113a63aa327411
1216308b6b6960
1382784cb76c7
143c9c9342972
151e606d2e200
hex1072be9a0d8

1130313130200 has 144 divisors (see below), whose sum is σ = 3803517965520. Its totient is φ = 300817355520.

The previous prime is 1130313130153. The next prime is 1130313130201. The reversal of 1130313130200 is 20313130311.

It is a happy number.

1130313130200 is a `hidden beast` number, since 1 + 1 + 303 + 131 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130313130201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281194 + ... + 1529606.

It is an arithmetic number, because the mean of its divisors is an integer number (26413319205).

Almost surely, 21130313130200 is an apocalyptic number.

1130313130200 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 1130313130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901758982760).

1130313130200 is an abundant number, since it is smaller than the sum of its proper divisors (2673204835320).

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

1130313130200 is a wasteful number, since it uses less digits than its factorization.

1130313130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248938 (or 1248926 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1130313130200 its reverse (20313130311), we get a palindrome (1150626260511).

The spelling of 1130313130200 in words is "one trillion, one hundred thirty billion, three hundred thirteen million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 503 600 900 1006 1509 1800 2012 2515 3018 4024 4527 5030 6036 7545 9054 10060 12072 12575 15090 18108 20120 22635 25150 30180 36216 37725 45270 50300 60360 75450 90540 100600 113175 150900 181080 226350 301800 452700 905400 1248413 2496826 3745239 4993652 6242065 7490478 9987304 11235717 12484130 14980956 18726195 22471434 24968260 29961912 31210325 37452390 44942868 49936520 56178585 62420650 74904780 89885736 93630975 112357170 124841300 149809560 187261950 224714340 249682600 280892925 374523900 449428680 561785850 627951739 749047800 1123571700 1255903478 1883855217 2247143400 2511806956 3139758695 3767710434 5023613912 5651565651 6279517390 7535420868 9419276085 11303131302 12559034780 15070841736 15698793475 18838552170 22606262604 25118069560 28257828255 31397586950 37677104340 45212525208 47096380425 56515656510 62795173900 75354208680 94192760850 113031313020 125590347800 141289141275 188385521700 226062626040 282578282550 376771043400 565156565100 1130313130200