Search a number
-
+
2121211281757 = 174728135926317
BaseRepresentation
bin11110110111100010000…
…010111000000101011101
321111210012212020221122211
4132313202002320011131
5234223220042004012
64302245423240421
7306152410254121
oct36674202700535
97453185227584
102121211281757
11748667517907
122a3131449111
1312504c692cb9
147494aa21581
153a29e49b6a7
hex1ede20b815d

2121211281757 has 32 divisors (see below), whose sum is σ = 2308438103040. Its totient is φ = 1941506058240.

The previous prime is 2121211281727. The next prime is 2121211281781. The reversal of 2121211281757 is 7571821121212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2121211281757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211281727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80589163 + ... + 80615479.

It is an arithmetic number, because the mean of its divisors is an integer number (72138690720).

Almost surely, 22121211281757 is an apocalyptic number.

It is an amenable number.

2121211281757 is a deficient number, since it is larger than the sum of its proper divisors (187226821283).

2121211281757 is a wasteful number, since it uses less digits than its factorization.

2121211281757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27021.

The product of its digits is 31360, while the sum is 40.

The spelling of 2121211281757 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred eighty-one thousand, seven hundred fifty-seven".

Divisors: 1 17 47 281 359 799 4777 6103 13207 16873 26317 100879 224519 286841 447389 1236899 1714943 4741313 7395077 9447803 21027283 80602321 125716309 160612651 347568619 444046741 2654832643 5908666523 7548794597 45132154931 124777134221 2121211281757