Search a number
-
+
20120320022130 = 23251794792607377
BaseRepresentation
bin1001001001100101000001…
…00001110001011001110010
32122020111001200210220222200
410210302200201301121302
510114122403411202010
6110443051501444030
74144434200234256
oct444624041613162
978214050726880
1020120320022130
116457a86131559
12230b552570616
13b2c4518893c3
144d7b85caa266
1524d597ea2cc0
hex124ca0871672

20120320022130 has 96 divisors (see below), whose sum is σ = 52714925452800. Its totient is φ = 5324303510016.

The previous prime is 20120320022119. The next prime is 20120320022141. The reversal of 20120320022130 is 3122002302102.

20120320022130 is a `hidden beast` number, since 2 + 0 + 120 + 320 + 0 + 221 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20120320022119) and next prime (20120320022141).

It is a super-3 number, since 3×201203200221303 (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6413002 + ... + 9020378.

It is an arithmetic number, because the mean of its divisors is an integer number (549113806800).

Almost surely, 220120320022130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120320022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357462726400).

20120320022130 is an abundant number, since it is smaller than the sum of its proper divisors (32594605430670).

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

20120320022130 is a wasteful number, since it uses less digits than its factorization.

20120320022130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608048 (or 2608045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20120320022130 its reverse (3122002302102), we get a palindrome (23242322324232).

The spelling of 20120320022130 in words is "twenty trillion, one hundred twenty billion, three hundred twenty million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 479 537 895 958 1074 1437 1611 1790 2395 2685 2874 3222 4311 4790 5370 7185 8055 8622 14370 16110 21555 43110 85741 171482 257223 428705 514446 771669 857410 1286115 1543338 2572230 2607377 3858345 5214754 7716690 7822131 13036885 15644262 23466393 26073770 39110655 46932786 78221310 117331965 234663930 466720483 933440966 1248933583 1400161449 2333602415 2497867166 2800322898 3746800749 4200484347 4667204830 6244667915 7000807245 7493601498 8400968694 11240402247 12489335830 14001614490 18734003745 21002421735 22480804494 37468007490 42004843470 56202011235 112404022470 223559111357 447118222714 670677334071 1117795556785 1341354668142 2012032002213 2235591113570 3353386670355 4024064004426 6706773340710 10060160011065 20120320022130