Search a number
-
+
1030211106221 = 11239774167841
BaseRepresentation
bin11101111110111010101…
…11011111010110101101
310122111011011221122011002
432333131113133112231
5113334333020344341
62105134503210045
7134300406626633
oct16773527372655
93574134848132
101030211106221
11367a01348180
121477b3746925
13761c130615b
1437c10925353
151bbe8b9029b
hexefdd5df5ad

1030211106221 has 16 divisors (see below), whose sum is σ = 1173931049088. Its totient is φ = 894918604800.

The previous prime is 1030211106209. The next prime is 1030211106241. The reversal of 1030211106221 is 1226011120301.

It is not a de Polignac number, because 1030211106221 - 218 = 1030210844077 is a prime.

It is a super-2 number, since 2×10302111062212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030211106193 and 1030211106202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030211106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836740 + ... + 2331101.

It is an arithmetic number, because the mean of its divisors is an integer number (73370690568).

Almost surely, 21030211106221 is an apocalyptic number.

1030211106221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1030211106221 is a deficient number, since it is larger than the sum of its proper divisors (143719942867).

1030211106221 is a wasteful number, since it uses less digits than its factorization.

1030211106221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168852.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1030211106221 its reverse (1226011120301), we get a palindrome (2256222226522).

The spelling of 1030211106221 in words is "one trillion, thirty billion, two hundred eleven million, one hundred six thousand, two hundred twenty-one".

Divisors: 1 11 23 253 977 10747 22471 247181 4167841 45846251 95860343 1054463773 4071980657 44791787227 93655555111 1030211106221