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254131331320 = 23537171710359
BaseRepresentation
bin1110110010101101101…
…0000110000011111000
3220021221211221020021101
43230223122012003320
513130430110100240
6312425112221144
724234416450326
oct3545332060370
9807854836241
10254131331320
119885a569659
124130409a7b4
131ac6cc74039
14c42b390d16
15692588239a
hex3b2b6860f8

254131331320 has 32 divisors (see below), whose sum is σ = 587249431200. Its totient is φ = 98905166208.

The previous prime is 254131331317. The next prime is 254131331329. The reversal of 254131331320 is 23133131452.

254131331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2541313313202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254131331329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85853700 + ... + 85856659.

It is an arithmetic number, because the mean of its divisors is an integer number (18351544725).

Almost surely, 2254131331320 is an apocalyptic number.

254131331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254131331320 is an abundant number, since it is smaller than the sum of its proper divisors (333118099880).

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

254131331320 is a wasteful number, since it uses less digits than its factorization.

254131331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171710407 (or 171710403 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 254131331320 its reverse (23133131452), we get a palindrome (277264462772).

The spelling of 254131331320 in words is "two hundred fifty-four billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 171710359 343420718 686841436 858551795 1373682872 1717103590 3434207180 6353283283 6868414360 12706566566 25413133132 31766416415 50826266264 63532832830 127065665660 254131331320