Search a number
-
+
122153142541 = 17291935472347
BaseRepresentation
bin111000111000011100…
…1010000100100001101
3102200022001200120210111
41301300321100210031
54000132201030131
6132041045440021
711553032402623
oct1616071204415
9380261616714
10122153142541
114789429aa71
121b810a10011
13b6992c0b01
145cab2a7513
15329e018ab1
hex1c70e5090d

122153142541 has 32 divisors (see below), whose sum is σ = 134795111040. Its totient is φ = 110179270656.

The previous prime is 122153142533. The next prime is 122153142607. The reversal of 122153142541 is 145241351221.

It is not a de Polignac number, because 122153142541 - 23 = 122153142533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122153140541) 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, 52045330 + ... + 52047676.

It is an arithmetic number, because the mean of its divisors is an integer number (4212347220).

Almost surely, 2122153142541 is an apocalyptic number.

It is an amenable number.

122153142541 is a deficient number, since it is larger than the sum of its proper divisors (12641968499).

122153142541 is a wasteful number, since it uses less digits than its factorization.

122153142541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133.

The product of its digits is 9600, while the sum is 31.

Adding to 122153142541 its reverse (145241351221), we get a palindrome (267394493762).

The spelling of 122153142541 in words is "one hundred twenty-two billion, one hundred fifty-three million, one hundred forty-two thousand, five hundred forty-one".

Divisors: 1 17 29 193 493 547 2347 3281 5597 9299 15863 39899 68063 95149 105571 269671 452971 1157071 1283809 1794707 3061559 7700507 13136159 21824753 37230461 52046503 223314703 247775137 632917837 4212177329 7185478973 122153142541