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103120131001 = 24135310931109
BaseRepresentation
bin110000000001001110…
…0000101001110111001
3100212011121201102100011
41200002130011032321
53142142223143001
6115212302141521
710310261436226
oct1400234051671
9325147642304
10103120131001
113a807697768
1217b9a8818a1
1399550656c4
144dc35b894d
152a3810cd51
hex18027053b9

103120131001 has 16 divisors (see below), whose sum is σ = 104030079120. Its totient is φ = 102215393280.

The previous prime is 103120130999. The next prime is 103120131007. The reversal of 103120131001 is 100131021301.

It can be written as a sum of positive squares in 8 ways, for example, as 799475625 + 102320655376 = 28275^2 + 319876^2 .

It is a cyclic number.

It is not a de Polignac number, because 103120131001 - 21 = 103120130999 is a prime.

It is a super-2 number, since 2×1031201310012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103120131007) 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, 92984235 + ... + 92985343.

It is an arithmetic number, because the mean of its divisors is an integer number (6501879945).

Almost surely, 2103120131001 is an apocalyptic number.

It is an amenable number.

103120131001 is a deficient number, since it is larger than the sum of its proper divisors (909948119).

103120131001 is a wasteful number, since it uses less digits than its factorization.

103120131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103120131001 its reverse (100131021301), we get a palindrome (203251152302).

The spelling of 103120131001 in words is "one hundred three billion, one hundred twenty million, one hundred thirty-one thousand, one".

Divisors: 1 241 353 1093 1109 85073 263413 267269 385829 391477 1212137 92984789 94345957 292125017 427884361 103120131001