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2130133221320 = 235134801853241
BaseRepresentation
bin11110111111110101110…
…101010111111111001000
321112122020122110102212212
4132333311311113333020
5234400003101040240
64310323015324252
7306616454430536
oct36776565277710
97478218412785
102130133221320
11751425742085
122a4a01380688
13125b41c11990
1475155917156
153a6228a9165
hex1eff5d57fc8

2130133221320 has 64 divisors (see below), whose sum is σ = 5162557785840. Its totient is φ = 786345984000.

The previous prime is 2130133221319. The next prime is 2130133221353. The reversal of 2130133221320 is 231223310312.

It can be written as a sum of positive squares in 8 ways, for example, as 728499804484 + 1401633416836 = 853522^2 + 1183906^2 .

It is a super-2 number, since 2×21301332213202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2069900 + ... + 2923140.

Almost surely, 22130133221320 is an apocalyptic number.

2130133221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130133221320 is an abundant number, since it is smaller than the sum of its proper divisors (3032424564520).

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

2130133221320 is a wasteful number, since it uses less digits than its factorization.

2130133221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858066 (or 858062 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2130133221320 its reverse (231223310312), we get a palindrome (2361356531632).

The spelling of 2130133221320 in words is "two trillion, one hundred thirty billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4801 9602 19204 24005 38408 48010 62413 96020 124826 192040 249652 312065 499304 624130 853241 1248260 1706482 2496520 3412964 4266205 6825928 8532410 11092133 17064820 22184266 34129640 44368532 55460665 88737064 110921330 221842660 443685320 4096410041 8192820082 16385640164 20482050205 32771280328 40964100410 53253330533 81928200820 106506661066 163856401640 213013322132 266266652665 426026644264 532533305330 1065066610660 2130133221320