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41123264093 is a prime number
BaseRepresentation
bin100110010011001000…
…110011011001011101
310221010221200021011022
4212103020303121131
51133210023422333
630520342133525
72654033656142
oct462310633135
9127127607138
1041123264093
1116493012a7a
127b781212a5
133b549ba282
141dc18443c9
15110a415c98
hex99323365d

41123264093 has 2 divisors, whose sum is σ = 41123264094. Its totient is φ = 41123264092.

The previous prime is 41123264071. The next prime is 41123264141. The reversal of 41123264093 is 39046232114.

41123264093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20817584089 + 20305680004 = 144283^2 + 142498^2 .

It is a cyclic number.

It is not a de Polignac number, because 41123264093 - 26 = 41123264029 is a prime.

It is a super-2 number, since 2×411232640932 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41123254093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20561632046 + 20561632047.

It is an arithmetic number, because the mean of its divisors is an integer number (20561632047).

Almost surely, 241123264093 is an apocalyptic number.

It is an amenable number.

41123264093 is a deficient number, since it is larger than the sum of its proper divisors (1).

41123264093 is an equidigital number, since it uses as much as digits as its factorization.

41123264093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 41123264093 in words is "forty-one billion, one hundred twenty-three million, two hundred sixty-four thousand, ninety-three".