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12948181371 = 35431239179
BaseRepresentation
bin11000000111100010…
…11001000101111011
31020102101021202200000
430003301121011323
5203004213300441
65540500244043
7635603503626
oct140361310573
936371252600
1012948181371
115544a02344
1226143a0623
1312b472a8a8
148ab91adbd
1550bb182b6
hex303c5917b

12948181371 has 24 divisors (see below), whose sum is σ = 19846706880. Its totient is φ = 8431367112.

The previous prime is 12948181369. The next prime is 12948181381. The reversal of 12948181371 is 17318184921.

It is a happy number.

12948181371 is a `hidden beast` number, since 1 + 29 + 481 + 81 + 3 + 71 = 666.

12948181371 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12948181371 - 21 = 12948181369 is a prime.

It is a super-2 number, since 2×129481813712 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12948181381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609141 + ... + 630038.

It is an arithmetic number, because the mean of its divisors is an integer number (826946120).

Almost surely, 212948181371 is an apocalyptic number.

12948181371 is a deficient number, since it is larger than the sum of its proper divisors (6898525509).

12948181371 is an equidigital number, since it uses as much as digits as its factorization.

12948181371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239237 (or 1239225 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 12948181371 in words is "twelve billion, nine hundred forty-eight million, one hundred eighty-one thousand, three hundred seventy-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 1239179 3717537 11152611 33457833 53284697 100373499 159854091 301120497 479562273 1438686819 4316060457 12948181371