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103301010232121 = 13532774091323373
BaseRepresentation
bin10111011111001110100100…
…000001010001001100111001
3111112202110222000102221102102
4113133032210001101030321
5102014440432104411441
61003411455020113145
730521152222150112
oct2737164401211471
9445673860387372
10103301010232121
112aa07792251529
12b7045173957b5
134584321b85020
141b71b1d09d209
15be216a22569b
hex5df3a4051339

103301010232121 has 32 divisors (see below), whose sum is σ = 114033655401120. Its totient is φ = 92989899085824.

The previous prime is 103301010232081. The next prime is 103301010232141. The reversal of 103301010232121 is 121232010103301.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20643165075625 + 82657845156496 = 4543475^2 + 9091636^2 .

It is not a de Polignac number, because 103301010232121 - 218 = 103301009969977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103301010232093 and 103301010232102.

It is not an unprimeable number, because it can be changed into a prime (103301010232141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77397191 + ... + 78720563.

It is an arithmetic number, because the mean of its divisors is an integer number (3563551731285).

Almost surely, 2103301010232121 is an apocalyptic number.

It is an amenable number.

103301010232121 is a deficient number, since it is larger than the sum of its proper divisors (10732645168999).

103301010232121 is a wasteful number, since it uses less digits than its factorization.

103301010232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324125.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103301010232121 its reverse (121232010103301), we get a palindrome (224533020335422).

The spelling of 103301010232121 in words is "one hundred three trillion, three hundred one billion, ten million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 13 53 277 409 689 3601 5317 14681 21677 113293 190853 281801 1323373 1472809 6004529 17203849 70138769 78058877 366574321 541259557 911803997 4765466173 7036374241 19428439013 28686756521 149928897289 252569707169 372927834773 1949075664757 7946231556317 103301010232121