Search a number
-
+
2132200111320 = 2332517348398711
BaseRepresentation
bin11111000001110001000…
…001111011110011011000
321112211120200200022221100
4133001301001323303120
5234413221212030240
64311304052111400
7310021622624106
oct37016101736330
97484520608840
102132200111320
11752296416134
122a5299605560
131260b11a9106
14752b0224c76
153a6e4080e30
hex1f07107bcd8

2132200111320 has 96 divisors (see below), whose sum is σ = 7337276874720. Its totient is φ = 535140418560.

The previous prime is 2132200111309. The next prime is 2132200111331. The reversal of 2132200111320 is 231110022312.

2132200111320 is a `hidden beast` number, since 2 + 1 + 32 + 200 + 111 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2132200111309) and next prime (2132200111331).

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

It is a junction number, because it is equal to n+sod(n) for n = 2132200111293 and 2132200111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174193236 + ... + 174205475.

It is an arithmetic number, because the mean of its divisors is an integer number (76429967445).

Almost surely, 22132200111320 is an apocalyptic number.

2132200111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132200111320 is an abundant number, since it is smaller than the sum of its proper divisors (5205076763400).

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

2132200111320 is a wasteful number, since it uses less digits than its factorization.

2132200111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348398745 (or 348398738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2132200111320 its reverse (231110022312), we get a palindrome (2363310133632).

The spelling of 2132200111320 in words is "two trillion, one hundred thirty-two billion, two hundred million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 348398711 696797422 1045196133 1393594844 1741993555 2090392266 2787189688 3135588399 3483987110 4180784532 5225980665 5922778087 6271176798 6967974220 8361569064 10451961330 11845556174 12542353596 13935948440 15677941995 17768334261 20903922660 23691112348 25084707192 29613890435 31355883990 35536668522 41807845320 47382224696 53305002783 59227780870 62711767980 71073337044 88841671305 106610005566 118455561740 125423535960 142146674088 177683342610 213220011132 236911123480 266525013915 355366685220 426440022264 533050027830 710733370440 1066100055660 2132200111320