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21033310100 = 225211148112911
BaseRepresentation
bin10011100101101011…
…101101011110010100
32000021211212212020012
4103211223231132110
5321034011410400
613355040455352
71343140120535
oct234553553624
960254785205
1021033310100
118a13834210
1240b001a558
131ca27a862a
14103762468c
1583182bd35
hex4e5aed794

21033310100 has 72 divisors (see below), whose sum is σ = 49829060736. Its totient is φ = 7642720000.

The previous prime is 21033310091. The next prime is 21033310127. The reversal of 21033310100 is 101333012.

It is a congruent number.

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, 1622645 + ... + 1635555.

It is an arithmetic number, because the mean of its divisors is an integer number (692070288).

Almost surely, 221033310100 is an apocalyptic number.

21033310100 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 21033310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24914530368).

21033310100 is an abundant number, since it is smaller than the sum of its proper divisors (28795750636).

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

21033310100 is a wasteful number, since it uses less digits than its factorization.

21033310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 21033310100 its reverse (101333012), we get a palindrome (21134643112).

It can be divided in two parts, 21033 and 310100, that added together give a palindrome (331133).

The spelling of 21033310100 in words is "twenty-one billion, thirty-three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1481 2962 5924 7405 12911 14810 16291 25822 29620 32582 37025 51644 64555 65164 74050 81455 129110 142021 148100 162910 258220 284042 322775 325820 407275 568084 645550 710105 814550 1291100 1420210 1629100 2840420 3550525 7101050 14202100 19121191 38242382 76484764 95605955 191211910 210333101 382423820 420666202 478029775 841332404 956059550 1051665505 1912119100 2103331010 4206662020 5258327525 10516655050 21033310100