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1233105101 is a prime number
BaseRepresentation
bin100100101111111…
…1011000011001101
310011221022020012022
41021133323003031
510011133330401
6322205415525
742362135414
oct11137730315
93157266168
101233105101
11583068128
122a4b6a5a5
131686158b7
14b9aaa47b
15733c971b
hex497fb0cd

1233105101 has 2 divisors, whose sum is σ = 1233105102. Its totient is φ = 1233105100.

The previous prime is 1233105091. The next prime is 1233105127. The reversal of 1233105101 is 1015013321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1185149476 + 47955625 = 34426^2 + 6925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1233105101 is a prime.

It is a super-2 number, since 2×12331051012 = 3041096380224440402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1233105101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233105131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616552550 + 616552551.

It is an arithmetic number, because the mean of its divisors is an integer number (616552551).

Almost surely, 21233105101 is an apocalyptic number.

It is an amenable number.

1233105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233105101 is an equidigital number, since it uses as much as digits as its factorization.

1233105101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1233105101 is about 35115.5962643382. The cubic root of 1233105101 is about 1072.3421200143.

Adding to 1233105101 its reverse (1015013321), we get a palindrome (2248118422).

The spelling of 1233105101 in words is "one billion, two hundred thirty-three million, one hundred five thousand, one hundred one".