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103102121001 = 31131271371897
BaseRepresentation
bin110000000000101011…
…1011000010000101001
3100212010100211102021010
41200001113120100221
53142123120333001
6115210420134133
710306652366025
oct1400127302051
9325110742233
10103102121001
113a7a8506570
1217b94837349
1399513cacb9
144dc104b385
152a367518d6
hex18015d8429

103102121001 has 32 divisors (see below), whose sum is σ = 155376009216. Its totient is φ = 60247152000.

The previous prime is 103102120997. The next prime is 103102121021. The reversal of 103102121001 is 100121201301.

It is not a de Polignac number, because 103102121001 - 22 = 103102120997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103102121021) 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 in 31 ways as a sum of consecutive naturals, for example, 91285 + ... + 463181.

It is an arithmetic number, because the mean of its divisors is an integer number (4855500288).

Almost surely, 2103102121001 is an apocalyptic number.

103102121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103102121001 is a deficient number, since it is larger than the sum of its proper divisors (52273888215).

103102121001 is a wasteful number, since it uses less digits than its factorization.

103102121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372213.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 103102121001 its reverse (100121201301), we get a palindrome (203223322302).

The spelling of 103102121001 in words is "one hundred three billion, one hundred two million, one hundred twenty-one thousand, one".

Divisors: 1 3 11 31 33 93 271 341 813 1023 2981 8401 8943 25203 92411 277233 371897 1115691 4090867 11528807 12272601 34586421 100784087 126816877 302352261 380450631 1108624957 3124306697 3325874871 9372920091 34367373667 103102121001