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21138055224 = 233111329212383
BaseRepresentation
bin10011101011111011…
…010010000000111000
32000120010222110112020
4103223323102000320
5321242320231344
613413301514440
71345551335106
oct235373220070
960503873466
1021138055224
118a67976830
12411b112a20
131cbb3c0bb0
1410474ccc76
1583ab1c719
hex4ebed2038

21138055224 has 128 divisors (see below), whose sum is σ = 64224921600. Its totient is φ = 5708828160.

The previous prime is 21138055207. The next prime is 21138055249. The reversal of 21138055224 is 42255083112.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 6664 + ... + 205719.

It is an arithmetic number, because the mean of its divisors is an integer number (501757200).

Almost surely, 221138055224 is an apocalyptic number.

21138055224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21138055224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32112460800).

21138055224 is an abundant number, since it is smaller than the sum of its proper divisors (43086866376).

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

21138055224 is a wasteful number, since it uses less digits than its factorization.

21138055224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212445 (or 212441 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 21138055224 in words is "twenty-one billion, one hundred thirty-eight million, fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 44 52 58 66 78 87 88 104 116 132 143 156 174 232 264 286 312 319 348 377 429 572 638 696 754 858 957 1131 1144 1276 1508 1716 1914 2262 2552 3016 3432 3828 4147 4524 7656 8294 9048 12441 16588 24882 33176 49764 99528 212383 424766 637149 849532 1274298 1699064 2336213 2548596 2760979 4672426 5097192 5521958 6159107 7008639 8282937 9344852 11043916 12318214 14017278 16565874 18477321 18689704 22087832 24636428 28034556 30370769 33131748 36954642 49272856 56069112 60741538 66263496 67750177 73909284 80068391 91112307 121483076 135500354 147818568 160136782 182224614 203250531 240205173 242966152 271000708 320273564 364449228 406501062 480410346 542001416 640547128 728898456 813002124 880752301 960820692 1626004248 1761504602 1921641384 2642256903 3523009204 5284513806 7046018408 10569027612 21138055224