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103121000001 = 32316740113757
BaseRepresentation
bin110000000001001111…
…1011001011001000001
3100212011200100120101100
41200002133121121001
53142142434000001
6115212332525013
710310302015605
oct1400237313101
9325150316340
10103121000001
113a808130648
1217b9b020769
1399552ab0c6
144dc3763505
152a38230586
hex18027d9641

103121000001 has 48 divisors (see below), whose sum is σ = 156452894208. Its totient is φ = 65368512000.

The previous prime is 103120999987. The next prime is 103121000029. The reversal of 103121000001 is 100000121301.

It is not a de Polignac number, because 103121000001 - 26 = 103120999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103121000071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7489015 + ... + 7502771.

It is an arithmetic number, because the mean of its divisors is an integer number (3259435296).

Almost surely, 2103121000001 is an apocalyptic number.

It is an amenable number.

103121000001 is a deficient number, since it is larger than the sum of its proper divisors (53331894207).

103121000001 is a wasteful number, since it uses less digits than its factorization.

103121000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103121000001 its reverse (100000121301), we get a palindrome (203121121302).

The spelling of 103121000001 in words is "one hundred three billion, one hundred twenty-one million, one", and thus it is an aban number.

Divisors: 1 3 9 31 67 93 201 279 401 603 1203 2077 3609 6231 12431 13757 18693 26867 37293 41271 80601 111879 123813 241803 426467 832877 921719 1279401 2498631 2765157 3838203 5516557 7495893 8295471 16549671 28573289 49649013 85719867 171013267 257159601 369609319 513039801 1108827957 1539119403 3326483871 11457888889 34373666667 103121000001