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103213120221 = 32173159368833
BaseRepresentation
bin110000000011111111…
…0110011101011011101
3100212102002200202120100
41200013332303223131
53142340024321341
6115225423211313
710312501021641
oct1400776635335
9325362622510
10103213120221
113a85512a962
1218005a46b39
13996b3c3103
144dd1aa2c21
152a4137a3b6
hex1807fb3add

103213120221 has 48 divisors (see below), whose sum is σ = 165709739520. Its totient is φ = 61609697280.

The previous prime is 103213120169. The next prime is 103213120229. The reversal of 103213120221 is 122021312301.

103213120221 is a `hidden beast` number, since 1 + 0 + 321 + 3 + 120 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-103213120221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103213120194 and 103213120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213120229) 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, 95421 + ... + 464253.

It is an arithmetic number, because the mean of its divisors is an integer number (3452286240).

Almost surely, 2103213120221 is an apocalyptic number.

It is an amenable number.

103213120221 is a deficient number, since it is larger than the sum of its proper divisors (62496619299).

103213120221 is a wasteful number, since it uses less digits than its factorization.

103213120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368946 (or 368943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103213120221 its reverse (122021312301), we get a palindrome (225234432522).

The spelling of 103213120221 in words is "one hundred three billion, two hundred thirteen million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 31 51 59 93 153 177 279 527 531 1003 1581 1829 3009 4743 5487 9027 16461 31093 93279 279837 368833 1106499 3319497 6270161 11433823 18810483 21761147 34301469 56431449 65283441 102904407 194374991 195850323 369939499 583124973 674595557 1109818497 1749374919 2023786671 3329455491 6071360013 11468124469 34404373407 103213120221