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41121906949 is a prime number
BaseRepresentation
bin100110010011000011…
…101000000100000101
310221010212010022111201
4212103003220010011
51133204202010244
630520253102501
72654016304354
oct462303500405
9127125108451
1041121906949
1116492276372
127b77787a31
133b54633626
141dc15ad99b
15110a248ad4
hex9930e8105

41121906949 has 2 divisors, whose sum is σ = 41121906950. Its totient is φ = 41121906948.

The previous prime is 41121906919. The next prime is 41121906979. The reversal of 41121906949 is 94960912114.

It is a balanced prime because it is at equal distance from previous prime (41121906919) and next prime (41121906979).

It can be written as a sum of positive squares in only one way, i.e., 34826277924 + 6295629025 = 186618^2 + 79345^2 .

It is a cyclic number.

It is not a de Polignac number, because 41121906949 - 219 = 41121382661 is a prime.

It is a super-2 number, since 2×411219069492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41121906899 and 41121906908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41121906919) 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, 20560953474 + 20560953475.

It is an arithmetic number, because the mean of its divisors is an integer number (20560953475).

Almost surely, 241121906949 is an apocalyptic number.

It is an amenable number.

41121906949 is a deficient number, since it is larger than the sum of its proper divisors (1).

41121906949 is an equidigital number, since it uses as much as digits as its factorization.

41121906949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 41121906949 in words is "forty-one billion, one hundred twenty-one million, nine hundred six thousand, nine hundred forty-nine".