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21113136 = 2434111481
BaseRepresentation
bin101000010001…
…0100100110000
31110201122210000
41100202210300
520401110021
62032310000
7344313222
oct120424460
943648700
1021113136
1110a10680
1270a2300
1344b2ca5
142b38412
151cc0b26
hex1422930

21113136 has 100 divisors (see below), whose sum is σ = 66707784. Its totient is φ = 6393600.

The previous prime is 21113119. The next prime is 21113153. The reversal of 21113136 is 63131112.

It is an interprime number because it is at equal distance from previous prime (21113119) and next prime (21113153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13516 + ... + 14996.

Almost surely, 221113136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33353892).

21113136 is an abundant number, since it is smaller than the sum of its proper divisors (45594648).

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

21113136 is a wasteful number, since it uses less digits than its factorization.

21113136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1497 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 21113136 is about 4594.9032633996. The cubic root of 21113136 is about 276.3869807885.

Adding to 21113136 its reverse (63131112), we get a palindrome (84244248).

The spelling of 21113136 in words is "twenty-one million, one hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1481 1584 1782 2376 2962 3564 4443 4752 5924 7128 8886 11848 13329 14256 16291 17772 23696 26658 32582 35544 39987 48873 53316 65164 71088 79974 97746 106632 119961 130328 146619 159948 195492 213264 239922 260656 293238 319896 390984 439857 479844 586476 639792 781968 879714 959688 1172952 1319571 1759428 1919376 2345904 2639142 3518856 5278284 7037712 10556568 21113136