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21021027160 = 2357257293997
BaseRepresentation
bin10011100100111100…
…110110101101011000
32000020222202211012111
4103210330312231120
5321022340332120
613353521322104
71342630532320
oct234474665530
960228684174
1021021027160
118a07904921
1240a7a96334
131ca0097913
141035b48280
1583070275a
hex4e4f36b58

21021027160 has 128 divisors (see below), whose sum is σ = 54504213120. Its totient is φ = 7147487232.

The previous prime is 21021027151. The next prime is 21021027161. The reversal of 21021027160 is 6172012012.

It is a happy number.

It is a super-2 number, since 2×210210271602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021027161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21083782 + ... + 21084778.

It is an arithmetic number, because the mean of its divisors is an integer number (425814165).

Almost surely, 221021027160 is an apocalyptic number.

21021027160 is a gapful number since it is divisible by the number (20) 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 21021027160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252106560).

21021027160 is an abundant number, since it is smaller than the sum of its proper divisors (33483185960).

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

21021027160 is a wasteful number, since it uses less digits than its factorization.

21021027160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 21021027160 its reverse (6172012012), we get a palindrome (27193039172).

The spelling of 21021027160 in words is "twenty-one billion, twenty-one million, twenty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 293 514 586 997 1028 1172 1285 1465 1799 1994 2051 2056 2344 2570 2930 3598 3988 4102 4985 5140 5860 6979 7196 7976 8204 8995 9970 10255 10280 11720 13958 14392 16408 17990 19940 20510 27916 34895 35980 39880 41020 55832 69790 71960 75301 82040 139580 150602 256229 279160 292121 301204 376505 512458 527107 584242 602408 753010 1024916 1054214 1168484 1281145 1460605 1506020 1793603 2044847 2049832 2108428 2336968 2562290 2635535 2921210 3012040 3587206 4089694 4216856 5124580 5271070 5842420 7174412 8179388 8968015 10224235 10249160 10542140 11684840 14348824 16358776 17936030 20448470 21084280 35872060 40896940 71744120 75075097 81793880 150150194 300300388 375375485 525525679 600600776 750750970 1051051358 1501501940 2102102716 2627628395 3003003880 4204205432 5255256790 10510513580 21021027160