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11221443414324 = 2232111321787100049
BaseRepresentation
bin1010001101001011001000…
…1001100000100100110100
31110201202111200111200021100
42203102302021200210310
52432323004003224244
635511020540250100
72235502554145263
oct243226211404464
943652450450240
1011221443414324
113636a952a0730
12131295a840930
1363524018a270
142ab1995125da
15146d67467b69
hexa34b2260934

11221443414324 has 144 divisors (see below), whose sum is σ = 33326149147200. Its totient is φ = 3138689848320.

The previous prime is 11221443414289. The next prime is 11221443414361. The reversal of 11221443414324 is 42341434412211.

11221443414324 is a `hidden beast` number, since 1 + 1 + 2 + 214 + 4 + 3 + 4 + 1 + 432 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 112109452 + ... + 112209500.

It is an arithmetic number, because the mean of its divisors is an integer number (231431591300).

Almost surely, 211221443414324 is an apocalyptic number.

It is an amenable number.

11221443414324 is an abundant number, since it is smaller than the sum of its proper divisors (22104705732876).

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

11221443414324 is a wasteful number, since it uses less digits than its factorization.

11221443414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121870 (or 121865 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 11221443414324 its reverse (42341434412211), we get a palindrome (53562877826535).

The spelling of 11221443414324 in words is "eleven trillion, two hundred twenty-one billion, four hundred forty-three million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 21787 43574 65361 87148 100049 130722 196083 200098 239657 261444 283231 300147 392166 400196 479314 566462 600294 718971 784332 849693 900441 958628 1100539 1132924 1200588 1300637 1437942 1699386 1800882 2156913 2201078 2549079 2601274 2875884 3115541 3301617 3398772 3601764 3901911 4313826 4402156 5098158 5202548 6231082 6603234 7803822 8627652 9346623 9904851 10196316 11705733 12462164 13206468 14307007 15607644 18693246 19809702 23411466 28039869 28614014 37386492 39619404 42921021 46822932 56079738 57228028 85842042 112159476 128763063 171684084 257526126 515052252 2179767563 4359535126 6539302689 8719070252 13078605378 19617908067 23977443193 26157210756 28336978319 39235816134 47954886386 56673956638 71932329579 78471632268 85010934957 95909772772 113347913276 143864659158 170021869914 215796988737 255032804871 287729318316 311706761509 340043739828 431593977474 510065609742 623413523018 863187954948 935120284527 1020131219484 1246827046036 1870240569054 2805360853581 3740481138108 5610721707162 11221443414324