Search a number
-
+
212201323300 = 225219237792011
BaseRepresentation
bin1100010110100000101…
…1110011101100100100
3202021201200020010111101
43011220023303230210
511434042014321200
6241252310445444
721221355326101
oct3055013635444
9667650203441
10212201323300
1181aa3129a6a
1235161963884
131701a0b23c5
14a3b0747aa8
1557be71126a
hex31682f3b24

212201323300 has 216 divisors, whose sum is σ = 505692216960. Its totient is φ = 77211014400.

The previous prime is 212201323291. The next prime is 212201323303. The reversal of 212201323300 is 3323102212.

It is a super-2 number, since 2×2122013233002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212201323303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105519295 + ... + 105521305.

Almost surely, 2212201323300 is an apocalyptic number.

212201323300 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 212201323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252846108480).

212201323300 is an abundant number, since it is smaller than the sum of its proper divisors (293490893660).

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

212201323300 is a wasteful number, since it uses less digits than its factorization.

212201323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212201323300 its reverse (3323102212), we get a palindrome (215524425512).

The spelling of 212201323300 in words is "two hundred twelve billion, two hundred one million, three hundred twenty-three thousand, three hundred".