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21331120120 = 2353714996731
BaseRepresentation
bin10011110111011011…
…110000111111111000
32001001121021011202221
4103313123300333320
5322141231320440
613444355533424
71353414346402
oct236733607770
961047234687
1021331120120
1190569522a2
1241738ba274
13201c3ba68b
141064dc7b72
1584ca56d4a
hex4f76f0ff8

21331120120 has 64 divisors (see below), whose sum is σ = 49623516000. Its totient is φ = 8246039040.

The previous prime is 21331120117. The next prime is 21331120147. The reversal of 21331120120 is 2102113312.

It is a junction number, because it is equal to n+sod(n) for n = 21331120094 and 21331120103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172155 + ... + 268885.

Almost surely, 221331120120 is an apocalyptic number.

21331120120 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 21331120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811758000).

21331120120 is an abundant number, since it is smaller than the sum of its proper divisors (28292395880).

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

21331120120 is a wasteful number, since it uses less digits than its factorization.

21331120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96928 (or 96924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21331120120 its reverse (2102113312), we get a palindrome (23433233432).

The spelling of 21331120120 in words is "twenty-one billion, three hundred thirty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 149 185 296 298 370 596 740 745 1192 1480 1490 2980 5513 5960 11026 22052 27565 44104 55130 96731 110260 193462 220520 386924 483655 773848 967310 1934620 3579047 3869240 7158094 14316188 14412919 17895235 28632376 28825838 35790470 57651676 71580940 72064595 115303352 143161880 144129190 288258380 533278003 576516760 1066556006 2133112012 2666390015 4266224024 5332780030 10665560060 21331120120