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31022132101031 = 2911341392287177
BaseRepresentation
bin1110000110110111001110…
…01010011111111110100111
311001211200112201120101222202
413003123213022133332213
513031231311304213111
6145551212025245115
76351163232035151
oct703334712377647
9131750481511882
1031022132101031
11998045990a035
12359036933379b
1314404b3a2c956
1479369cd1dad1
1538be54564b3b
hex1c36e729ffa7

31022132101031 has 16 divisors (see below), whose sum is σ = 32383695866400. Its totient is φ = 29680152327168.

The previous prime is 31022132100989. The next prime is 31022132101061. The reversal of 31022132101031 is 13010123122013.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31022132101031 is a prime.

It is a super-2 number, since 2×310221321010312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31022132100994 and 31022132101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31022132101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12419915 + ... + 14707091.

It is an arithmetic number, because the mean of its divisors is an integer number (2023980991650).

Almost surely, 231022132101031 is an apocalyptic number.

31022132101031 is a deficient number, since it is larger than the sum of its proper divisors (1361563765369).

31022132101031 is a wasteful number, since it uses less digits than its factorization.

31022132101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291458.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31022132101031 its reverse (13010123122013), we get a palindrome (44032255223044).

The spelling of 31022132101031 in words is "thirty-one trillion, twenty-two billion, one hundred thirty-two million, one hundred one thousand, thirty-one".

Divisors: 1 29 113 3277 4139 120031 467707 2287177 13563503 66328133 258451001 7495079029 9466625603 274532142487 1069728693139 31022132101031