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41214121312301 = 71131312861139021
BaseRepresentation
bin10010101111011111010010…
…00011111000000000101101
312101221000211222101010001122
421113233221003320000231
520400223010023443201
6223353301141350325
711452423226653340
oct1127575103700055
9171830758333048
1041214121312301
111214a8a10380a3
1247576a5a083a5
1319cc623657662
14a26aba258457
154b71194eee1b
hex257be90f802d

41214121312301 has 32 divisors (see below), whose sum is σ = 47898501970176. Its totient is φ = 34734091392000.

The previous prime is 41214121312297. The next prime is 41214121312303. The reversal of 41214121312301 is 10321312141214.

It is a happy number.

41214121312301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41214121312301 - 22 = 41214121312297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214121312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296390171 + ... + 296529191.

It is an arithmetic number, because the mean of its divisors is an integer number (1496828186568).

Almost surely, 241214121312301 is an apocalyptic number.

It is an amenable number.

41214121312301 is a deficient number, since it is larger than the sum of its proper divisors (6684380657875).

41214121312301 is a wasteful number, since it uses less digits than its factorization.

41214121312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142133.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 41214121312301 its reverse (10321312141214), we get a palindrome (51535433453515).

The spelling of 41214121312301 in words is "forty-one trillion, two hundred fourteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred one".

Divisors: 1 7 113 131 791 917 2861 14803 20027 103621 139021 323293 374791 973147 2263051 2623537 15709373 18211751 42351383 109965611 127482257 296459681 397739081 2057927863 2784173567 14405495041 44944516153 52103819611 314611613071 364726737277 5887731616043 41214121312301