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21013121320 = 23517434391637
BaseRepresentation
bin10011100100011110…
…101100100100101000
32000020102220011102121
4103210132230210220
5321013324340240
613353040041024
71342503404242
oct234436544450
960212804377
1021013121320
118a033a5074
1240a5303174
131c9b55a2c9
141034a8b092
1582eb9004a
hex4e47ac928

21013121320 has 128 divisors (see below), whose sum is σ = 51372921600. Its totient is φ = 7704539136.

The previous prime is 21013121293. The next prime is 21013121323. The reversal of 21013121320 is 2312131012.

It is a junction number, because it is equal to n+sod(n) for n = 21013121294 and 21013121303.

It is not an unprimeable number, because it can be changed into a prime (21013121323) 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, 12835542 + ... + 12837178.

It is an arithmetic number, because the mean of its divisors is an integer number (401350950).

Almost surely, 221013121320 is an apocalyptic number.

21013121320 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 21013121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686460800).

21013121320 is an abundant number, since it is smaller than the sum of its proper divisors (30359800280).

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

21013121320 is a wasteful number, since it uses less digits than its factorization.

21013121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21013121320 its reverse (2312131012), we get a palindrome (23325252332).

The spelling of 21013121320 in words is "twenty-one billion, thirteen million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 439 680 731 860 878 1462 1637 1720 1756 2195 2924 3274 3512 3655 4390 5848 6548 7310 7463 8185 8780 13096 14620 14926 16370 17560 18877 27829 29240 29852 32740 37315 37754 55658 59704 65480 70391 74630 75508 94385 111316 139145 140782 149260 151016 188770 222632 278290 281564 298520 320909 351955 377540 556580 563128 641818 703910 718643 755080 1113160 1196647 1283636 1407820 1437286 1604545 2393294 2567272 2815640 2874572 3209090 3593215 4786588 5749144 5983235 6418180 7186430 9573176 11966470 12216931 12836360 14372860 23932940 24433862 28745720 30901649 47865880 48867724 61084655 61803298 97735448 122169310 123606596 154508245 244338620 247213192 309016490 488677240 525328033 618032980 1050656066 1236065960 2101312132 2626640165 4202624264 5253280330 10506560660 21013121320