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2132220023120 = 2451119127525121
BaseRepresentation
bin11111000001110010001…
…101111001000101010000
321112211122002010221210102
4133001302031321011100
5234413241311214440
64311310042551532
7310022254105025
oct37016215710520
97484562127712
102132220023120
117522a6686170
122a52a42085a8
131260b535b345
14752b2b2954c
153a6e5bb5b15
hex1f072379150

2132220023120 has 80 divisors (see below), whose sum is σ = 5692721446080. Its totient is φ = 734544691200.

The previous prime is 2132220023113. The next prime is 2132220023147. The reversal of 2132220023120 is 213200222312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2132220023092 and 2132220023101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63745841 + ... + 63779280.

It is an arithmetic number, because the mean of its divisors is an integer number (71159018076).

Almost surely, 22132220023120 is an apocalyptic number.

2132220023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132220023120 is an abundant number, since it is smaller than the sum of its proper divisors (3560501422960).

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

2132220023120 is a wasteful number, since it uses less digits than its factorization.

2132220023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127525164 (or 127525158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2132220023120 its reverse (213200222312), we get a palindrome (2345420245432).

The spelling of 2132220023120 in words is "two trillion, one hundred thirty-two billion, two hundred twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 127525121 255050242 510100484 637625605 1020200968 1275251210 1402776331 2040401936 2422977299 2550502420 2805552662 4845954598 5101004840 5611105324 7013881655 9691909196 10202009680 11222210648 12114886495 14027763310 19383818392 22444421296 24229772990 26652750289 28055526620 38767636784 48459545980 53305500578 56111053240 96919091960 106611001156 112222106480 133263751445 193838183920 213222002312 266527502890 426444004624 533055005780 1066110011560 2132220023120