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31132120101 = 3251225118367
BaseRepresentation
bin11100111111100111…
…100111010000100101
32222100122120120012020
4130333213213100211
51002224310320401
622145113213353
72151324440355
oct347747472045
988318516166
1031132120101
11122262a7685
12604a101259
132c21ab0a54
141714948b65
15c23206d36
hex73f9e7425

31132120101 has 16 divisors (see below), whose sum is σ = 41695653888. Its totient is φ = 20661750000.

The previous prime is 31132120081. The next prime is 31132120121. The reversal of 31132120101 is 10102123113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31132120081) and next prime (31132120121).

It is not a de Polignac number, because 31132120101 - 211 = 31132118053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685820 + ... + 1704186.

It is an arithmetic number, because the mean of its divisors is an integer number (2605978368).

Almost surely, 231132120101 is an apocalyptic number.

It is an amenable number.

31132120101 is a deficient number, since it is larger than the sum of its proper divisors (10563533787).

31132120101 is a wasteful number, since it uses less digits than its factorization.

31132120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31132120101 its reverse (10102123113), we get a palindrome (41234243214).

The spelling of 31132120101 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 251 753 2251 6753 18367 55101 565001 1695003 4610117 13830351 41344117 124032351 10377373367 31132120101