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125220132341 = 3374497331129
BaseRepresentation
bin111010010011110110…
…0111001010111110101
3102222012210202210212022
41310213230321113311
54022422323213331
6133305250002525
712022033364063
oct1644754712765
9388183683768
10125220132341
1149118555887
1220327b76445
13ba6782b985
1460bc74b033
1533cd3e167b
hex1d27b395f5

125220132341 has 16 divisors (see below), whose sum is σ = 126154782000. Its totient is φ = 124290367488.

The previous prime is 125220132307. The next prime is 125220132383. The reversal of 125220132341 is 143231022521.

It can be written as a sum of positive squares in 8 ways, for example, as 13140625 + 125206991716 = 3625^2 + 353846^2 .

It is a cyclic number.

It is not a de Polignac number, because 125220132341 - 210 = 125220131317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125220132341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125220132241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110911865 + ... + 110912993.

It is an arithmetic number, because the mean of its divisors is an integer number (7884673875).

Almost surely, 2125220132341 is an apocalyptic number.

It is an amenable number.

125220132341 is a deficient number, since it is larger than the sum of its proper divisors (934649659).

125220132341 is a wasteful number, since it uses less digits than its factorization.

125220132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 125220132341 its reverse (143231022521), we get a palindrome (268451154862).

The spelling of 125220132341 in words is "one hundred twenty-five billion, two hundred twenty million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 337 449 733 1129 151313 247021 329117 380473 506921 827557 110912429 170832377 278886709 371573093 125220132341