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212221101300 = 2235213229293811
BaseRepresentation
bin1100010110100101011…
…1010000010011110100
3202021210001102221210220
43011221113100103310
511434112100220200
6241254254414340
721222015411645
oct3055127202364
9667701387726
10212221101300
118200330851a
12351685013b0
1317021218770
14a3b32156cc
1557c131b4a0
hex31695d04f4

212221101300 has 288 divisors, whose sum is σ = 667235210880. Its totient is φ = 51769497600.

The previous prime is 212221101299. The next prime is 212221101341. The reversal of 212221101300 is 3101122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212221101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261677895 + ... + 261678705.

Almost surely, 2212221101300 is an apocalyptic number.

212221101300 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 212221101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333617605440).

212221101300 is an abundant number, since it is smaller than the sum of its proper divisors (455014109580).

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

212221101300 is a wasteful number, since it uses less digits than its factorization.

212221101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212221101300 its reverse (3101122212), we get a palindrome (215322223512).

The spelling of 212221101300 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, three hundred".