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31122100041 = 3313203104479
BaseRepresentation
bin11100111111000001…
…011000111101001001
32222022221201111020220
4130333001120331021
51002214224200131
622144114340253
72151143325354
oct347701307511
988287644226
1031122100041
111222068343a
12604688a689
132c1c9b3016
14171349b29b
15c223c7e96
hex73f058f49

31122100041 has 16 divisors (see below), whose sum is σ = 42848501760. Its totient is φ = 20072313360.

The previous prime is 31122099961. The next prime is 31122100049. The reversal of 31122100041 is 14000122113.

It is not a de Polignac number, because 31122100041 - 231 = 28974616393 is a prime.

It is a super-2 number, since 2×311221000412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31122100049) 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 15 ways as a sum of consecutive naturals, for example, 245640 + ... + 350118.

It is an arithmetic number, because the mean of its divisors is an integer number (2678031360).

Almost surely, 231122100041 is an apocalyptic number.

31122100041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31122100041 is a deficient number, since it is larger than the sum of its proper divisors (11726401719).

31122100041 is a wasteful number, since it uses less digits than its factorization.

31122100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107716.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31122100041 its reverse (14000122113), we get a palindrome (45122222154).

The spelling of 31122100041 in words is "thirty-one billion, one hundred twenty-two million, one hundred thousand, forty-one".

Divisors: 1 3 31 93 3203 9609 99293 104479 297879 313437 3238849 9716547 334646237 1003938711 10374033347 31122100041