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21202323120 = 24325113772353
BaseRepresentation
bin10011101111110000…
…011100011010110000
32000201121220121111200
4103233300130122300
5321410243314440
613423515211200
71350261526056
oct235760343260
960647817450
1021202323120
118aa01821a0
124138746b00
131ccb803634
141051c5c1d6
158415b4c30
hex4efc1c6b0

21202323120 has 240 divisors, whose sum is σ = 79778099232. Its totient is φ = 5000970240.

The previous prime is 21202323097. The next prime is 21202323127. The reversal of 21202323120 is 2132320212.

21202323120 is a `hidden beast` number, since 2 + 120 + 232 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 21202323093 and 21202323102.

It is not an unprimeable number, because it can be changed into a prime (21202323127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256864 + ... + 329216.

Almost surely, 221202323120 is an apocalyptic number.

21202323120 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 21202323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889049616).

21202323120 is an abundant number, since it is smaller than the sum of its proper divisors (58575776112).

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

21202323120 is a wasteful number, since it uses less digits than its factorization.

21202323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72420 (or 72411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21202323120 its reverse (2132320212), we get a palindrome (23334643332).

The spelling of 21202323120 in words is "twenty-one billion, two hundred two million, three hundred twenty-three thousand, one hundred twenty".