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122142421403001 = 32103117537509023
BaseRepresentation
bin11011110001011001111111…
…101000111100010101111001
3121000110200221100121210010100
4123301121333220330111321
5112002140134334344001
61111435242002510013
734504333031506416
oct3361317750742571
9530420840553110
10122142421403001
1135a113456aa03a
1211848029965309
13531cc9a0c386c
142223a2097d10d
15e1c310c07586
hex6f167fa3c579

122142421403001 has 24 divisors (see below), whose sum is σ = 176699829735936. Its totient is φ = 81302884441920.

The previous prime is 122142421402951. The next prime is 122142421403003. The reversal of 122142421403001 is 100304124241221.

122142421403001 is a `hidden beast` number, since 1 + 2 + 2 + 14 + 242 + 1 + 403 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 122142421403001 - 217 = 122142421271929 is a prime.

It is a super-2 number, since 2×1221424214030012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122142421403003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12511576 + ... + 20020598.

It is an arithmetic number, because the mean of its divisors is an integer number (7362492905664).

Almost surely, 2122142421403001 is an apocalyptic number.

It is an amenable number.

122142421403001 is a deficient number, since it is larger than the sum of its proper divisors (54557408332935).

122142421403001 is a wasteful number, since it uses less digits than its factorization.

122142421403001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511813 (or 7511810 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 122142421403001 its reverse (100304124241221), we get a palindrome (222446545644222).

The spelling of 122142421403001 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred twenty-one million, four hundred three thousand, one".

Divisors: 1 3 9 1031 1753 3093 5259 9279 15777 1807343 5422029 7509023 16266087 22527069 67581207 7741802713 13163317319 23225408139 39489951957 69676224417 118469855871 13571380155889 40714140467667 122142421403001