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123212334101 is a prime number
BaseRepresentation
bin111001011000000000…
…1110000010000010101
3102210000212202002110112
41302300001300100111
54004314324142401
6132334123532405
711621213362643
oct1626001602025
9383025662415
10123212334101
114828817229a
121ba6768a105
13b807883c8c
145d6bc22193
153311edd3bb
hex1cb0070415

123212334101 has 2 divisors, whose sum is σ = 123212334102. Its totient is φ = 123212334100.

The previous prime is 123212334079. The next prime is 123212334127. The reversal of 123212334101 is 101433212321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109843193476 + 13369140625 = 331426^2 + 115625^2 .

It is a cyclic number.

It is not a de Polignac number, because 123212334101 - 222 = 123208139797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123212334131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61606167050 + 61606167051.

It is an arithmetic number, because the mean of its divisors is an integer number (61606167051).

Almost surely, 2123212334101 is an apocalyptic number.

It is an amenable number.

123212334101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123212334101 is an equidigital number, since it uses as much as digits as its factorization.

123212334101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123212334101 its reverse (101433212321), we get a palindrome (224645546422).

The spelling of 123212334101 in words is "one hundred twenty-three billion, two hundred twelve million, three hundred thirty-four thousand, one hundred one".