Search a number
-
+
101112040202909 is a prime number
BaseRepresentation
bin10110111111010111111011…
…001111010010001010011101
3111021000012211221010222101112
4112333113323033102022131
5101223104424242443114
6555014121403351405
730204050420665211
oct2677277317221235
9437005757128345
10101112040202909
112a24341478888a
12b410235822565
134455a944c0a28
141ad7bc53a0941
15ba52522d313e
hex5bf5fb3d229d

101112040202909 has 2 divisors, whose sum is σ = 101112040202910. Its totient is φ = 101112040202908.

The previous prime is 101112040202881. The next prime is 101112040202933. The reversal of 101112040202909 is 909202040211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99314737999684 + 1797302203225 = 9965678^2 + 1340635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101112040202909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112040222909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556020101454 + 50556020101455.

It is an arithmetic number, because the mean of its divisors is an integer number (50556020101455).

Almost surely, 2101112040202909 is an apocalyptic number.

It is an amenable number.

101112040202909 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112040202909 is an equidigital number, since it uses as much as digits as its factorization.

101112040202909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 101112040202909 in words is "one hundred one trillion, one hundred twelve billion, forty million, two hundred two thousand, nine hundred nine".