Search a number
-
+
211346623136103 = 37136338912212899
BaseRepresentation
bin110000000011011111111000…
…011001011000000101100111
31000201022112120112212110211120
4300003133320121120011213
5210200200341010323403
62025255144233505023
762342201225532150
oct6003377031300547
91021275515773746
10211346623136103
1161383665a687a4
121b854484572173
1390c0b93799420
143a29334364927
1519679260b4e53
hexc037f8658167

211346623136103 has 32 divisors (see below), whose sum is σ = 346830727488000. Its totient is φ = 111477769693056.

The previous prime is 211346623136087. The next prime is 211346623136111. The reversal of 211346623136103 is 301631326643112.

It is not a de Polignac number, because 211346623136103 - 24 = 211346623136087 is a prime.

It is a super-2 number, since 2×2113466231361032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211346623136203) 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, 11198748 + ... + 23411646.

It is an arithmetic number, because the mean of its divisors is an integer number (10838460234000).

Almost surely, 2211346623136103 is an apocalyptic number.

211346623136103 is a deficient number, since it is larger than the sum of its proper divisors (135484104351897).

211346623136103 is a wasteful number, since it uses less digits than its factorization.

211346623136103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276311.

The product of its (nonzero) digits is 279936, while the sum is 42.

Adding to 211346623136103 its reverse (301631326643112), we get a palindrome (512977949779215).

The spelling of 211346623136103 in words is "two hundred eleven trillion, three hundred forty-six billion, six hundred twenty-three million, one hundred thirty-six thousand, one hundred three".

Divisors: 1 3 7 13 21 39 91 273 63389 190167 443723 824057 1331169 2472171 5768399 12212899 17305197 36638697 85490293 158767687 256470879 476303061 1111373809 3334121427 774163454711 2322490364133 5419144182977 10064124911243 16257432548931 30192374733729 70448874378701 211346623136103