Search a number
-
+
20010032131220 = 2259000111116561
BaseRepresentation
bin1001000110010111100101…
…10110110110110010010100
32121211221101112200120112022
410203023302312312302110
510110321021211144340
6110320252025312312
74133451151516565
oct443136266666224
977757345616468
1020010032131220
11641523052877a
1222b20b3335698
13b21c26841261
144d26c278616c
1524a79098e3b5
hex1232f2db6c94

20010032131220 has 24 divisors (see below), whose sum is σ = 42021538151208. Its totient is φ = 8003923200000.

The previous prime is 20010032131213. The next prime is 20010032131273. The reversal of 20010032131220 is 2213123001002.

It can be written as a sum of positive squares in 4 ways, for example, as 2491554913156 + 17518477218064 = 1578466^2 + 4185508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3758261 + ... + 7358300.

It is an arithmetic number, because the mean of its divisors is an integer number (1750897422967).

Almost surely, 220010032131220 is an apocalyptic number.

20010032131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010032131220 is an abundant number, since it is smaller than the sum of its proper divisors (22011506019988).

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

20010032131220 is a wasteful number, since it uses less digits than its factorization.

20010032131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11206571 (or 11206569 counting only the distinct ones).

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

Adding to 20010032131220 its reverse (2213123001002), we get a palindrome (22223155132222).

The spelling of 20010032131220 in words is "twenty trillion, ten billion, thirty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 90001 180002 360004 450005 900010 1800020 11116561 22233122 44466244 55582805 111165610 222331220 1000501606561 2001003213122 4002006426244 5002508032805 10005016065610 20010032131220