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21213030100 = 22521731140123
BaseRepresentation
bin10011110000011001…
…010010011011010100
32000202101001120201111
4103300121102123110
5321421013430400
613424540504404
71350451531543
oct236031223324
960671046644
1021213030100
118aa6225539
12414024b104
132000ab1c22
14105344815a
158424cc3ba
hex4f06526d4

21213030100 has 72 divisors (see below), whose sum is σ = 48897995328. Its totient is φ = 7960204800.

The previous prime is 21213030071. The next prime is 21213030131. The reversal of 21213030100 is 103031212.

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, 508639 + ... + 548761.

It is an arithmetic number, because the mean of its divisors is an integer number (679138824).

Almost surely, 221213030100 is an apocalyptic number.

21213030100 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 21213030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24448997664).

21213030100 is an abundant number, since it is smaller than the sum of its proper divisors (27684965228).

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

21213030100 is a wasteful number, since it uses less digits than its factorization.

21213030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40465 (or 40458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21213030100 its reverse (103031212), we get a palindrome (21316061312).

The spelling of 21213030100 in words is "twenty-one billion, two hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 311 340 425 622 850 1244 1555 1700 3110 5287 6220 7775 10574 15550 21148 26435 31100 40123 52870 80246 105740 132175 160492 200615 264350 401230 528700 682091 802460 1003075 1364182 2006150 2728364 3410455 4012300 6820910 12478253 13641820 17052275 24956506 34104550 49913012 62391265 68209100 124782530 212130301 249565060 311956325 424260602 623912650 848521204 1060651505 1247825300 2121303010 4242606020 5303257525 10606515050 21213030100