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420121225752117 = 33140731109116753
BaseRepresentation
bin101111110000110010001100…
…0011011000110111000110101
32001002112012022120100220002120
41133201210120123012320311
5420031231232243031432
64045305005433430153
7154330520422602051
oct13741443033067065
92032465276326076
10420121225752117
1111195545844352a
123b15238456b359
1315056352958956
1475a5d93922c61
1533884b5890c2c
hex17e19186c6e35

420121225752117 has 16 divisors (see below), whose sum is σ = 578373331941888. Its totient is φ = 270979404848640.

The previous prime is 420121225752113. The next prime is 420121225752119. The reversal of 420121225752117 is 711257522121024.

It is a happy number.

It is not a de Polignac number, because 420121225752117 - 22 = 420121225752113 is a prime.

It is a super-2 number, since 2×4201212257521172 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420121225752113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554179588 + ... + 554937165.

It is an arithmetic number, because the mean of its divisors is an integer number (36148333246368).

Almost surely, 2420121225752117 is an apocalyptic number.

It is an amenable number.

420121225752117 is a deficient number, since it is larger than the sum of its proper divisors (158252106189771).

420121225752117 is a wasteful number, since it uses less digits than its factorization.

420121225752117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109120860.

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 420121225752117 in words is "four hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-five million, seven hundred fifty-two thousand, one hundred seventeen".

Divisors: 1 3 31 93 4073 12219 126263 378789 1109116753 3327350259 34382619343 103147858029 4517432534969 13552297604907 140040408584039 420121225752117