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1130302232200 = 235217727457279
BaseRepresentation
bin10000011100101011010…
…000110101011010001000
311000001111201001122202001
4100130223100311122020
5122004324332412300
62223130443320344
7144442641310561
oct20345320653210
94001451048661
101130302232200
113a63a41635a9
12163087b200b4
138278297019b
143c9c7b07168
151e605dca16a
hex1072b435688

1130302232200 has 96 divisors (see below), whose sum is σ = 2786371660800. Its totient is φ = 424939299840.

The previous prime is 1130302232197. The next prime is 1130302232203. The reversal of 1130302232200 is 22322030311.

It is an interprime number because it is at equal distance from previous prime (1130302232197) and next prime (1130302232203).

It is a super-2 number, since 2×11303022322002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130302232203) by changing a digit.

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, 2243161 + ... + 2700439.

It is an arithmetic number, because the mean of its divisors is an integer number (29024704800).

Almost surely, 21130302232200 is an apocalyptic number.

1130302232200 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 1130302232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393185830400).

1130302232200 is an abundant number, since it is smaller than the sum of its proper divisors (1656069428600).

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

1130302232200 is a wasteful number, since it uses less digits than its factorization.

1130302232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458039 (or 458030 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1130302232200 its reverse (22322030311), we get a palindrome (1152624262511).

The spelling of 1130302232200 in words is "one trillion, one hundred thirty billion, three hundred two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 727 850 1454 1700 2908 3400 3635 5816 7270 12359 14540 18175 24718 29080 36350 49436 61795 72700 98872 123590 145400 247180 308975 457279 494360 617950 914558 1235900 1829116 2286395 2471800 3658232 4572790 7773743 9145580 11431975 15547486 18291160 22863950 31094972 38868715 45727900 62189944 77737430 91455800 155474860 194343575 310949720 332441833 388687150 664883666 777374300 1329767332 1554748600 1662209165 2659534664 3324418330 5651511161 6648836660 8311045825 11303022322 13297673320 16622091650 22606044644 28257555805 33244183300 45212089288 56515111610 66488366600 113030223220 141287779025 226060446440 282575558050 565151116100 1130302232200