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31123202141 is a prime number
BaseRepresentation
bin11100111111000101…
…100110000001011101
32222100000210111001102
4130333011212001131
51002220014432031
622144154122445
72151155565443
oct347705460135
988300714042
1031123202141
1112221266469
126047120425
132c1ccaa855
1417136a6b93
15c225447cb
hex73f16605d

31123202141 has 2 divisors, whose sum is σ = 31123202142. Its totient is φ = 31123202140.

The previous prime is 31123202129. The next prime is 31123202161. The reversal of 31123202141 is 14120232113.

It is an a-pointer prime, because the next prime (31123202161) can be obtained adding 31123202141 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21556406041 + 9566796100 = 146821^2 + 97810^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123202141 - 210 = 31123201117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123202101) 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 as a sum of consecutive naturals, namely, 15561601070 + 15561601071.

It is an arithmetic number, because the mean of its divisors is an integer number (15561601071).

Almost surely, 231123202141 is an apocalyptic number.

It is an amenable number.

31123202141 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123202141 is an equidigital number, since it uses as much as digits as its factorization.

31123202141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31123202141 its reverse (14120232113), we get a palindrome (45243434254).

The spelling of 31123202141 in words is "thirty-one billion, one hundred twenty-three million, two hundred two thousand, one hundred forty-one".