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1130221032200 = 2352131972206601
BaseRepresentation
bin10000011100100110011…
…011000101001100001000
311000001022001021021021122
4100130212123011030020
5122004143041012300
62223114423054412
7144440634156101
oct20344633051410
94001261237248
101130221032200
113a6362342867
121630648a1408
138276bbac850
143c9bb00b3a8
151e5edbdac85
hex107266c5308

1130221032200 has 96 divisors (see below), whose sum is σ = 2844265845960. Its totient is φ = 415193856000.

The previous prime is 1130221032197. The next prime is 1130221032203. The reversal of 1130221032200 is 22301220311.

It is an interprime number because it is at equal distance from previous prime (1130221032197) and next prime (1130221032203).

It can be written as a sum of positive squares in 12 ways, for example, as 414846775396 + 715374256804 = 644086^2 + 845798^2 .

It is not an unprimeable number, because it can be changed into a prime (1130221032203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591101 + ... + 1615500.

Almost surely, 21130221032200 is an apocalyptic number.

1130221032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130221032200 is an abundant number, since it is smaller than the sum of its proper divisors (1714044813760).

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

1130221032200 is a wasteful number, since it uses less digits than its factorization.

1130221032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206827 (or 2206818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1130221032200 its reverse (22301220311), we get a palindrome (1152522252511).

The spelling of 1130221032200 in words is "one trillion, one hundred thirty billion, two hundred twenty-one million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 197 200 260 325 394 520 650 788 985 1300 1576 1970 2561 2600 3940 4925 5122 7880 9850 10244 12805 19700 20488 25610 39400 51220 64025 102440 128050 256100 512200 2206601 4413202 8826404 11033005 17652808 22066010 28685813 44132020 55165025 57371626 88264040 110330050 114743252 143429065 220660100 229486504 286858130 434700397 441320200 573716260 717145325 869400794 1147432520 1434290650 1738801588 2173501985 2868581300 3477603176 4347003970 5651105161 5737162600 8694007940 10867509925 11302210322 17388015880 21735019850 22604420644 28255525805 43470039700 45208841288 56511051610 86940079400 113022103220 141277629025 226044206440 282555258050 565110516100 1130221032200