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21332300 = 22521124143
BaseRepresentation
bin101000101100…
…0000101001100
31111010210102012
41101120011030
520430113200
62041120352
7346215203
oct121300514
944123365
1021332300
1111050300
1271890b8
13455b982
142b9423a
151d15a35
hex145814c

21332300 has 108 divisors (see below), whose sum is σ = 53335128. Its totient is φ = 7392000.

The previous prime is 21332261. The next prime is 21332329. The reversal of 21332300 is 323312.

21332300 = T31 + T32 + ... + T503.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 496079 + ... + 496121.

Almost surely, 221332300 is an apocalyptic number.

21332300 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 21332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26667564).

21332300 is an abundant number, since it is smaller than the sum of its proper divisors (32002828).

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

21332300 is a wasteful number, since it uses less digits than its factorization.

21332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 21332300 is about 4618.6902905477. The cubic root of 21332300 is about 277.3400317097.

Adding to 21332300 its reverse (323312), we get a palindrome (21655612).

The spelling of 21332300 in words is "twenty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 43 44 50 55 82 86 100 110 121 164 172 205 215 220 242 275 410 430 451 473 484 550 605 820 860 902 946 1025 1075 1100 1210 1763 1804 1892 2050 2150 2255 2365 2420 3025 3526 4100 4300 4510 4730 4961 5203 6050 7052 8815 9020 9460 9922 10406 11275 11825 12100 17630 19393 19844 20812 22550 23650 24805 26015 35260 38786 44075 45100 47300 49610 52030 77572 88150 96965 99220 104060 124025 130075 176300 193930 213323 248050 260150 387860 426646 484825 496100 520300 853292 969650 1066615 1939300 2133230 4266460 5333075 10666150 21332300