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15313121331 = 3172117115083
BaseRepresentation
bin11100100001011101…
…11011000000110011
31110112012100011101220
432100232323000303
5222330124340311
611011301200123
71051321245414
oct162056730063
943465304356
1015313121331
116548948782
122b74400043
1315a068c351
14a53a5180b
155e9566206
hex390bbb033

15313121331 has 24 divisors (see below), whose sum is σ = 21709134144. Its totient is φ = 9599391360.

The previous prime is 15313121261. The next prime is 15313121333. The reversal of 15313121331 is 13312131351.

It is a happy number.

15313121331 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 15313121331 - 215 = 15313088563 is a prime.

It is a super-2 number, since 2×153131213312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15313121333) 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, 1007716 + ... + 1022798.

It is an arithmetic number, because the mean of its divisors is an integer number (904547256).

Almost surely, 215313121331 is an apocalyptic number.

15313121331 is a deficient number, since it is larger than the sum of its proper divisors (6396012813).

15313121331 is a wasteful number, since it uses less digits than its factorization.

15313121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16274 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

Adding to 15313121331 its reverse (13312131351), we get a palindrome (28625252682).

The spelling of 15313121331 in words is "fifteen billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 17 51 289 867 1171 3513 15083 19907 45249 59721 256411 338419 769233 1015257 4358987 13076961 17662193 52986579 300257281 900771843 5104373777 15313121331