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122231040132221 = 23117771300734693
BaseRepresentation
bin11011110010101100100001…
…101110100100010001111101
3121000210011200100101122221122
4123302230201232210101331
5112010113132233212341
61111544055321440325
734513621056334436
oct3362544156442175
9530704610348848
10122231040132221
1135a45990663a29
12118612400400a5
1353284509c4247
14222802a24248d
15e1e79ab8d94b
hex6f2b21ba447d

122231040132221 has 16 divisors (see below), whose sum is σ = 127569746962944. Its totient is φ = 116894362066944.

The previous prime is 122231040132161. The next prime is 122231040132281.

122231040132221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (122231040132161) and next prime (122231040132281).

It is not a de Polignac number, because 122231040132221 - 222 = 122231035937917 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 (122231040132281) 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, 3523201751 + ... + 3523236443.

It is an arithmetic number, because the mean of its divisors is an integer number (7973109185184).

Almost surely, 2122231040132221 is an apocalyptic number.

It is an amenable number.

122231040132221 is a deficient number, since it is larger than the sum of its proper divisors (5338706830723).

122231040132221 is a wasteful number, since it uses less digits than its factorization.

122231040132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59500.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 122231040132221 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, forty million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 23 11777 13007 34693 270871 299161 797939 153183439 408579461 451251851 3523219097 9397327603 10378792573 5314393049227 122231040132221