Search a number
-
+
131101101221 = 1963247109097
BaseRepresentation
bin111101000011000111…
…1000000110010100101
3110112101122211222112112
41322012033000302211
54121443340214341
6140121011330405
712320543654666
oct1720617006245
9415348758475
10131101101221
1150666176842
12214a95b0a05
13c49404c80c
1464b981336d
153624865aeb
hex1e863c0ca5

131101101221 has 8 divisors (see below), whose sum is σ = 138004606080. Its totient is φ = 124197941088.

The previous prime is 131101101191. The next prime is 131101101223. The reversal of 131101101221 is 122101101131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131101101221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131101101196 and 131101101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147145 + ... + 1256241.

It is an arithmetic number, because the mean of its divisors is an integer number (17250575760).

Almost surely, 2131101101221 is an apocalyptic number.

It is an amenable number.

131101101221 is a deficient number, since it is larger than the sum of its proper divisors (6903504859).

131101101221 is a wasteful number, since it uses less digits than its factorization.

131101101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172363.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 131101101221 its reverse (122101101131), we get a palindrome (253202202352).

The spelling of 131101101221 in words is "one hundred thirty-one billion, one hundred one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 19 63247 109097 1201693 2072843 6900057959 131101101221