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211021021320120 = 2332511123653430949
BaseRepresentation
bin101111111110110000101001…
…000001000001001110111000
31000200011102010210121102221200
4233332300221001001032320
5210124332022424220440
62024445415140534200
762306523425003544
oct5776605101011670
91020142123542850
10211021021320120
11612685702571a0
121b8013550b1360
139099273850c9b
143a17686d7ca24
15195e21aea7c30
hexbfec290413b8

211021021320120 has 192 divisors, whose sum is σ = 748173225852000. Its totient is φ = 51156078812160.

The previous prime is 211021021319993. The next prime is 211021021320127. The reversal of 211021021320120 is 21023120120112.

211021021320120 is a `hidden beast` number, since 2 + 1 + 10 + 210 + 2 + 1 + 320 + 120 = 666.

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 = 211021021320093 and 211021021320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211021021320127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 489450406 + ... + 489881354.

Almost surely, 2211021021320120 is an apocalyptic number.

211021021320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021021320120 is an abundant number, since it is smaller than the sum of its proper divisors (537152204531880).

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

211021021320120 is a wasteful number, since it uses less digits than its factorization.

211021021320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554630 (or 554623 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211021021320120 its reverse (21023120120112), we get a palindrome (232044141440232).

The spelling of 211021021320120 in words is "two hundred eleven trillion, twenty-one billion, twenty-one million, three hundred twenty thousand, one hundred twenty".