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11221314203124 = 2232461416755449
BaseRepresentation
bin1010001101001010101001…
…1100100110110111110100
31110201202011200101001211100
42203102222130212313310
52432322222413444444
635511000043010100
72235466424651244
oct243225234466764
943652150331740
1011221314203124
113636a29368413
121312923509930
1363521c48982c
142ab1862b9b24
15146d5ae42e69
hexa34aa726df4

11221314203124 has 36 divisors (see below), whose sum is σ = 28365607624900. Its totient is φ = 3740356448640.

The previous prime is 11221314202999. The next prime is 11221314203131. The reversal of 11221314203124 is 42130241312211.

11221314203124 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 314 + 203 + 124 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 461720250000 + 10759593953124 = 679500^2 + 3280182^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112213142031242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1716649 + ... + 5038800.

Almost surely, 211221314203124 is an apocalyptic number.

It is an amenable number.

11221314203124 is an abundant number, since it is smaller than the sum of its proper divisors (17144293421776).

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

11221314203124 is a wasteful number, since it uses less digits than its factorization.

11221314203124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801600 (or 6801595 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11221314203124 its reverse (42130241312211), we get a palindrome (53351555515335).

The spelling of 11221314203124 in words is "eleven trillion, two hundred twenty-one billion, three hundred fourteen million, two hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 46141 92282 138423 184564 276846 415269 553692 830538 1661076 6755449 13510898 20266347 27021796 40532694 60799041 81065388 121598082 243196164 311703172309 623406344618 935109516927 1246812689236 1870219033854 2805328550781 3740438067708 5610657101562 11221314203124