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245505403121131 = 17241106119528279
BaseRepresentation
bin110111110100100100101110…
…010101111110110111101011
31012012021002100122210220100001
4313310210232111332313223
5224134330031144334011
62230051343013123431
7102466115516651656
oct6764445625766753
91165232318726301
10245505403121131
117125329082723a
1223650712929577
13a6cb0a228c35a
14448a74c50489d
151d5b25b6457c1
hexdf492e57edeb

245505403121131 has 24 divisors (see below), whose sum is σ = 267409096143840. Its totient is φ = 225215724518400.

The previous prime is 245505403121059. The next prime is 245505403121203. The reversal of 245505403121131 is 131121304505542.

It is an interprime number because it is at equal distance from previous prime (245505403121059) and next prime (245505403121203).

It is not a de Polignac number, because 245505403121131 - 211 = 245505403119083 is a prime.

It is a super-2 number, since 2×2455054031211312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245505400121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2807650 + ... + 22335928.

It is an arithmetic number, because the mean of its divisors is an integer number (11142045672660).

Almost surely, 2245505403121131 is an apocalyptic number.

245505403121131 is a deficient number, since it is larger than the sum of its proper divisors (21903693022709).

245505403121131 is a wasteful number, since it uses less digits than its factorization.

245505403121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529415 (or 19529398 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 245505403121131 its reverse (131121304505542), we get a palindrome (376626707626673).

The spelling of 245505403121131 in words is "two hundred forty-five trillion, five hundred five billion, four hundred three million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 17 41 289 697 1061 11849 18037 43501 306629 739517 12571789 19528279 331980743 800659439 5643672631 13611210463 20719504019 231390577871 352231568323 849499664779 5987936661491 14441494301243 245505403121131