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21101310 = 2345109239
BaseRepresentation
bin101000001111…
…1101011111110
31110201001120000
41100133223332
520400220220
62032135130
7344233566
oct120375376
943631500
1021101310
1110a027aa
1270974a6
1344aa7a9
142b33da6
151cbc390
hex141fafe

21101310 has 80 divisors (see below), whose sum is σ = 57499200. Its totient is φ = 5552064.

The previous prime is 21101309. The next prime is 21101317. The reversal of 21101310 is 1310112.

It is a super-2 number, since 2×211013102 = 890530567432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21101292 and 21101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88171 + ... + 88409.

It is an arithmetic number, because the mean of its divisors is an integer number (718740).

Almost surely, 221101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749600).

21101310 is an abundant number, since it is smaller than the sum of its proper divisors (36397890).

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

21101310 is a wasteful number, since it uses less digits than its factorization.

21101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 21101310 is about 4593.6162225419. The cubic root of 21101310 is about 276.3353673776.

Adding to 21101310 its reverse (1310112), we get a palindrome (22411422).

The spelling of 21101310 in words is "twenty-one million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 239 270 327 405 478 545 654 717 810 981 1090 1195 1434 1635 1962 2151 2390 2943 3270 3585 4302 4905 5886 6453 7170 8829 9810 10755 12906 14715 17658 19359 21510 26051 29430 32265 38718 44145 52102 64530 78153 88290 96795 130255 156306 193590 234459 260510 390765 468918 703377 781530 1172295 1406754 2110131 2344590 3516885 4220262 7033770 10550655 21101310