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212123231100 = 22325211372392423
BaseRepresentation
bin1100010110001110000…
…1111010001101111100
3202021112020021122010200
43011203201322031330
511433412021343400
6241240441003500
721216416500044
oct3054341721574
9667466248120
10212123231100
1181a63041160
123513b783590
1317006b6c4c1
14a3a421a724
1557b7937b00
hex316387a37c

212123231100 has 432 divisors, whose sum is σ = 748362101760. Its totient is φ = 49804070400.

The previous prime is 212123231087. The next prime is 212123231123. The reversal of 212123231100 is 1132321212.

212123231100 is a `hidden beast` number, since 2 + 121 + 232 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87544489 + ... + 87546911.

It is an arithmetic number, because the mean of its divisors is an integer number (1732319680).

Almost surely, 2212123231100 is an apocalyptic number.

212123231100 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 212123231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374181050880).

212123231100 is an abundant number, since it is smaller than the sum of its proper divisors (536238870660).

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

212123231100 is a wasteful number, since it uses less digits than its factorization.

212123231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212123231100 its reverse (1132321212), we get a palindrome (213255552312).

The spelling of 212123231100 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred thirty-one thousand, one hundred".