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103313020221 = 3285313457473
BaseRepresentation
bin110000000110111101…
…1111001010100111101
3100212200001200012121100
41200031323321110331
53143041113121341
6115243352323313
710315123116405
oct1401573712475
9325601605540
10103313020221
113a8a6563244
12180333a3539
139986000238
145001069805
152a4a0103b6
hex180def953d

103313020221 has 12 divisors (see below), whose sum is σ = 149404876348. Its totient is φ = 68794596864.

The previous prime is 103313020183. The next prime is 103313020253. The reversal of 103313020221 is 122020313301.

103313020221 is a `hidden beast` number, since 10 + 331 + 302 + 0 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62507000196 + 40806020025 = 250014^2 + 202005^2 .

It is not a de Polignac number, because 103313020221 - 213 = 103313012029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103313020194 and 103313020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313020271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6721060 + ... + 6736413.

Almost surely, 2103313020221 is an apocalyptic number.

It is an amenable number.

103313020221 is a deficient number, since it is larger than the sum of its proper divisors (46091856127).

103313020221 is a wasteful number, since it uses less digits than its factorization.

103313020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13458332 (or 13458329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103313020221 its reverse (122020313301), we get a palindrome (225333333522).

The spelling of 103313020221 in words is "one hundred three billion, three hundred thirteen million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 853 2559 7677 13457473 40372419 121117257 11479224469 34437673407 103313020221