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125332353405 = 345753834131
BaseRepresentation
bin111010010111001100…
…0111111000101111101
3102222111121221020020000
41310232120333011331
54023140040302110
6133324335144513
712024565266150
oct1645630770575
9388447836200
10125332353405
1149175934166
1220359675139
13ba84b60c7c
1460cd5ddc97
1533d81ac1c0
hex1d2e63f17d

125332353405 has 80 divisors (see below), whose sum is σ = 261610487424. Its totient is φ = 56213688960.

The previous prime is 125332353403. The next prime is 125332353427. The reversal of 125332353405 is 504353233521.

125332353405 is a `hidden beast` number, since 1 + 253 + 32 + 35 + 340 + 5 = 666.

It is not a de Polignac number, because 125332353405 - 21 = 125332353403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125332353405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125332353401) 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 79 ways as a sum of consecutive naturals, for example, 266811 + ... + 567320.

Almost surely, 2125332353405 is an apocalyptic number.

125332353405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125332353405 is an abundant number, since it is smaller than the sum of its proper divisors (136278134019).

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

125332353405 is an equidigital number, since it uses as much as digits as its factorization.

125332353405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834208 (or 834199 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 125332353405 its reverse (504353233521), we get a palindrome (629685586926).

The spelling of 125332353405 in words is "one hundred twenty-five billion, three hundred thirty-two million, three hundred fifty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 53 63 81 105 135 159 189 265 315 371 405 477 567 795 945 1113 1431 1855 2385 2835 3339 4293 5565 7155 10017 16695 21465 30051 50085 150255 834131 2502393 4170655 5838917 7507179 12511965 17516751 22521537 29194585 37535895 44208943 52550253 67564611 87583755 112607685 132626829 157650759 221044715 262751265 309462601 337823055 397880487 472952277 663134145 788253795 928387803 1193641461 1547313005 1989402435 2364761385 2785163409 3580924383 4641939015 5968207305 8355490227 13925817045 17904621915 25066470681 41777451135 125332353405