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123011122261 is a prime number
BaseRepresentation
bin111001010010000001…
…0001100010001010101
3102202111212010110201011
41302210002030101111
54003411321403021
6132302135132221
711613221200336
oct1624402142125
9382455113634
10123011122261
1148194631915
121ba10214071
13b7a4c94211
145d4d20628d
1532ee4e4de1
hex1ca408c455

123011122261 has 2 divisors, whose sum is σ = 123011122262. Its totient is φ = 123011122260.

The previous prime is 123011122253. The next prime is 123011122309. The reversal of 123011122261 is 162221110321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86616021636 + 36395100625 = 294306^2 + 190775^2 .

It is a cyclic number.

It is not a de Polignac number, because 123011122261 - 23 = 123011122253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123011122231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505561130 + 61505561131.

It is an arithmetic number, because the mean of its divisors is an integer number (61505561131).

Almost surely, 2123011122261 is an apocalyptic number.

It is an amenable number.

123011122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

123011122261 is an equidigital number, since it uses as much as digits as its factorization.

123011122261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 123011122261 its reverse (162221110321), we get a palindrome (285232232582).

The spelling of 123011122261 in words is "one hundred twenty-three billion, eleven million, one hundred twenty-two thousand, two hundred sixty-one".