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31120000101 = 32311049106331
BaseRepresentation
bin11100111110111001…
…011000010001100101
32222022210202210200100
4130332321120101211
51002213210000401
622144001334313
72151116431161
oct347671302145
988283683610
1031120000101
111221a479753
126046037399
132c1c429258
1417130b1ca1
15c22110b86
hex73ee58465

31120000101 has 24 divisors (see below), whose sum is σ = 46445817600. Its totient is φ = 20058091200.

The previous prime is 31120000091. The next prime is 31120000123. The reversal of 31120000101 is 10100002113.

It is a de Polignac number, because none of the positive numbers 2k-31120000101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120000151) 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 23 ways as a sum of consecutive naturals, for example, 239506 + ... + 345836.

It is an arithmetic number, because the mean of its divisors is an integer number (1935242400).

Almost surely, 231120000101 is an apocalyptic number.

31120000101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31120000101 is a deficient number, since it is larger than the sum of its proper divisors (15325817499).

31120000101 is a wasteful number, since it uses less digits than its factorization.

31120000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107417 (or 107414 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31120000101 its reverse (10100002113), we get a palindrome (41220002214).

The spelling of 31120000101 in words is "thirty-one billion, one hundred twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 31 93 279 1049 3147 9441 32519 97557 106331 292671 318993 956979 3296261 9888783 29666349 111541219 334623657 1003870971 3457777789 10373333367 31120000101