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21332233100 = 2252474679719
BaseRepresentation
bin10011110111100000…
…000000101110001100
32001001200100201111102
4103313200000232030
5322142022424400
613444435442232
71353426663263
oct236740005614
961050321442
1021332233100
119057542512
124174156378
13201c6ba149
1410651d75da
1584cbc69d5
hex4f7800b8c

21332233100 has 72 divisors (see below), whose sum is σ = 47381967360. Its totient is φ = 8332601920.

The previous prime is 21332233061. The next prime is 21332233121. The reversal of 21332233100 is 133223312.

It is a super-2 number, since 2×213322331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190041 + ... + 2199759.

It is an arithmetic number, because the mean of its divisors is an integer number (658082880).

Almost surely, 221332233100 is an apocalyptic number.

21332233100 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 21332233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690983680).

21332233100 is an abundant number, since it is smaller than the sum of its proper divisors (26049734260).

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

21332233100 is a wasteful number, since it uses less digits than its factorization.

21332233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21332233100 its reverse (133223312), we get a palindrome (21465456412).

The spelling of 21332233100 in words is "twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 467 470 934 940 1175 1868 2335 2350 4670 4700 9340 9719 11675 19438 21949 23350 38876 43898 46700 48595 87796 97190 109745 194380 219490 242975 438980 456793 485950 548725 913586 971900 1097450 1827172 2194900 2283965 4538773 4567930 9077546 9135860 11419825 18155092 22693865 22839650 45387730 45679300 90775460 113469325 213322331 226938650 426644662 453877300 853289324 1066611655 2133223310 4266446620 5333058275 10666116550 21332233100