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103201300133121 = 31719877793130681
BaseRepresentation
bin10111011101110001101100…
…110101011011010100000001
3111112101221121001022002120210
4113131301230311123110001
5102011322230313224441
61003254004530424333
730511022265250041
oct2735615465332401
9445357531262523
10103201300133121
112a979475522333
12b6a912a7320a9
134577ac1448748
141b6ad80743721
15bde7816a2616
hex5ddc6cd5b501

103201300133121 has 32 divisors (see below), whose sum is σ = 145789098473088. Its totient is φ = 64712368005120.

The previous prime is 103201300133111. The next prime is 103201300133131. The reversal of 103201300133121 is 121331003102301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103201300133111) and next prime (103201300133131).

It is not a de Polignac number, because 103201300133121 - 211 = 103201300131073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103201300133101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789653901 + ... + 789784581.

It is an arithmetic number, because the mean of its divisors is an integer number (4555909327284).

Almost surely, 2103201300133121 is an apocalyptic number.

It is an amenable number.

103201300133121 is a deficient number, since it is larger than the sum of its proper divisors (42587798339967).

103201300133121 is a wasteful number, since it uses less digits than its factorization.

103201300133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140481.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103201300133121 its reverse (121331003102301), we get a palindrome (224532303235422).

The spelling of 103201300133121 in words is "one hundred three trillion, two hundred one billion, three hundred million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 17 51 1987 5961 7793 23379 33779 101337 130681 132481 392043 397443 2221577 6664731 15484691 46454073 259663147 263239747 778989441 789719241 1018397033 3055191099 4414273499 13242820497 17312749561 51938248683 2023554904571 6070664713713 34400433377707 103201300133121