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21124313232 = 24311412414049
BaseRepresentation
bin10011101011000110…
…110111000010010000
32000112012010022001120
4103223012313002100
5321230311010412
613412051202240
71345323462021
oct235306670220
960465108046
1021124313232
118a60140210
1241165a6380
131cb85bc039
141045752c48
15839805b8c
hex4eb1b7090

21124313232 has 160 divisors (see below), whose sum is σ = 61252329600. Its totient is φ = 6217728000.

The previous prime is 21124313173. The next prime is 21124313233. The reversal of 21124313232 is 23231342112.

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 not an unprimeable number, because it can be changed into a prime (21124313233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5215144 + ... + 5219192.

It is an arithmetic number, because the mean of its divisors is an integer number (382827060).

Almost surely, 221124313232 is an apocalyptic number.

21124313232 is a gapful number since it is divisible by the number (22) 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 21124313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30626164800).

21124313232 is an abundant number, since it is smaller than the sum of its proper divisors (40128016368).

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

21124313232 is a wasteful number, since it uses less digits than its factorization.

21124313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4347 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 21124313232 its reverse (23231342112), we get a palindrome (44355655344).

The spelling of 21124313232 in words is "twenty-one billion, one hundred twenty-four million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 241 246 264 328 451 482 492 528 656 723 902 964 984 1353 1446 1804 1928 1968 2651 2706 2892 3608 3856 4049 5302 5412 5784 7216 7953 8098 9881 10604 10824 11568 12147 15906 16196 19762 21208 21648 24294 29643 31812 32392 39524 42416 44539 48588 59286 63624 64784 79048 89078 97176 108691 118572 127248 133617 158096 166009 178156 194352 217382 237144 267234 326073 332018 356312 434764 474288 498027 534468 652146 664036 712624 869528 975809 996054 1068936 1304292 1328072 1739056 1826099 1951618 1992108 2137872 2608584 2656144 2927427 3652198 3903236 3984216 5217168 5478297 5854854 7304396 7806472 7968432 10733899 10956594 11709708 14608792 15612944 21467798 21913188 23419416 29217584 32201697 40008169 42935596 43826376 46838832 64403394 80016338 85871192 87652752 120024507 128806788 160032676 171742384 240049014 257613576 320065352 440089859 480098028 515227152 640130704 880179718 960196056 1320269577 1760359436 1920392112 2640539154 3520718872 5281078308 7041437744 10562156616 21124313232