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21216330100 = 2252788134403
BaseRepresentation
bin10011110000100101…
…111000000101110100
32000202121021020110201
4103300211320011310
5321422340030400
613425135330244
71350521554540
oct236045700564
960677236421
1021216330100
118aa8079909
124141380984
132001698ca4
141053a66a20
1584293006a
hex4f0978174

21216330100 has 72 divisors (see below), whose sum is σ = 52677753408. Its totient is φ = 7265702400.

The previous prime is 21216330097. The next prime is 21216330101. The reversal of 21216330100 is 103361212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216330101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599499 + ... + 633901.

It is an arithmetic number, because the mean of its divisors is an integer number (731635464).

Almost surely, 221216330100 is an apocalyptic number.

21216330100 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 21216330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338876704).

21216330100 is an abundant number, since it is smaller than the sum of its proper divisors (31461423308).

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

21216330100 is a wasteful number, since it uses less digits than its factorization.

21216330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35305 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21216330100 its reverse (103361212), we get a palindrome (21319691312).

The spelling of 21216330100 in words is "twenty-one billion, two hundred sixteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 881 1762 3524 4405 6167 8810 12334 17620 22025 24668 30835 34403 44050 61670 68806 88100 123340 137612 154175 172015 240821 308350 344030 481642 616700 688060 860075 963284 1204105 1720150 2408210 3440300 4816420 6020525 12041050 24082100 30309043 60618086 121236172 151545215 212163301 303090430 424326602 606180860 757726075 848653204 1060816505 1515452150 2121633010 3030904300 4243266020 5304082525 10608165050 21216330100