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21143221224 = 23323611016217
BaseRepresentation
bin10011101100001110…
…111111001111101000
32000120111200220221120
4103230032333033220
5321300131034344
613414004335240
71345643262246
oct235416771750
960514626846
1021143221224
118a6a885054
1241209a4520
131cbc4ac3b8
141048075796
1583b2dd219
hex4ec3bf3e8

21143221224 has 128 divisors (see below), whose sum is σ = 56624590080. Its totient is φ = 6564096000.

The previous prime is 21143221171. The next prime is 21143221277. The reversal of 21143221224 is 42212234112.

It is an interprime number because it is at equal distance from previous prime (21143221171) and next prime (21143221277).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 21143221194 and 21143221203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397764 + ... + 3403980.

It is an arithmetic number, because the mean of its divisors is an integer number (442379610).

Almost surely, 221143221224 is an apocalyptic number.

21143221224 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 21143221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28312295040).

21143221224 is an abundant number, since it is smaller than the sum of its proper divisors (35481368856).

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

21143221224 is a wasteful number, since it uses less digits than its factorization.

21143221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6407 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 21143221224 its reverse (42212234112), we get a palindrome (63355455336).

The spelling of 21143221224 in words is "twenty-one billion, one hundred forty-three million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 101 122 138 183 184 202 244 276 303 366 404 488 552 606 732 808 1212 1403 1464 2323 2424 2806 4209 4646 5612 6161 6217 6969 8418 9292 11224 12322 12434 13938 16836 18483 18584 18651 24644 24868 27876 33672 36966 37302 49288 49736 55752 73932 74604 141703 142991 147864 149208 283406 285982 379237 425109 428973 566812 571964 627917 758474 850218 857946 1133624 1137711 1143928 1255834 1516948 1700436 1715892 1883751 2275422 2511668 3033896 3400872 3431784 3767502 4550844 5023336 7535004 8722451 9101688 14442091 15070008 17444902 26167353 28884182 34889804 38302937 43326273 52334706 57768364 69779608 76605874 86652546 104669412 114908811 115536728 153211748 173305092 209338824 229817622 306423496 346610184 459635244 880967551 919270488 1761935102 2642902653 3523870204 5285805306 7047740408 10571610612 21143221224