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11100214312 = 23111017971567
BaseRepresentation
bin10100101011001111…
…11101010000101000
31001122121000022102121
422111213331100220
5140213123324222
65033244041024
7542034156565
oct122547752050
931577008377
1011100214312
114786866340
122199533174
13107b914865
1477431986c
1544e7875c7
hex2959fd428

11100214312 has 64 divisors (see below), whose sum is σ = 22973207040. Its totient is φ = 4986144000.

The previous prime is 11100214297. The next prime is 11100214327. The reversal of 11100214312 is 21341200111.

11100214312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100214297) and next prime (11100214327).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7082953 + ... + 7084519.

It is an arithmetic number, because the mean of its divisors is an integer number (358956360).

Almost surely, 211100214312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486603520).

11100214312 is an abundant number, since it is smaller than the sum of its proper divisors (11872992728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100214312 is a wasteful number, since it uses less digits than its factorization.

11100214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11100214312 its reverse (21341200111), we get a palindrome (32441414423).

The spelling of 11100214312 in words is "eleven billion, one hundred million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 797 808 1111 1567 1594 2222 3134 3188 4444 6268 6376 8767 8888 12536 17237 17534 34474 35068 68948 70136 80497 137896 158267 160994 316534 321988 633068 643976 885467 1248899 1266136 1740937 1770934 2497798 3481874 3541868 4995596 6963748 7083736 9991192 13737889 13927496 27475778 54951556 109903112 126138799 252277598 504555196 1009110392 1387526789 2775053578 5550107156 11100214312