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1100212434420 = 22351141591016823
BaseRepresentation
bin10000000000101001110…
…001010111010111110100
310220011211200210112222020
4100000221301113113310
5121011213340400140
62201233002433140
7142326201250611
oct20005161272764
93804750715866
101100212434420
11394663267130
1215928ab027b0
137c998ac7208
143b3717a5508
151d9444646d0
hex10029c575f4

1100212434420 has 384 divisors, whose sum is σ = 3536146575360. Its totient is φ = 253232640000.

The previous prime is 1100212434401. The next prime is 1100212434427. The reversal of 1100212434420 is 244342120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212434427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161247129 + ... + 161253951.

It is an arithmetic number, because the mean of its divisors is an integer number (9208715040).

Almost surely, 21100212434420 is an apocalyptic number.

1100212434420 is a gapful number since it is divisible by the number (10) 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 1100212434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768073287680).

1100212434420 is an abundant number, since it is smaller than the sum of its proper divisors (2435934140940).

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

1100212434420 is a wasteful number, since it uses less digits than its factorization.

1100212434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1100212434420 its reverse (244342120011), we get a palindrome (1344554554431).

The spelling of 1100212434420 in words is "one trillion, one hundred billion, two hundred twelve million, four hundred thirty-four thousand, four hundred twenty".