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211121023320 = 233354311340231
BaseRepresentation
bin1100010010011111001…
…0110010100101011000
3202011221101110012112000
43010213302302211120
511424333440221240
6240553200121000
721152530042344
oct3044762624530
9664841405460
10211121023320
118159934a669
1234b00006160
1316ba733b44c
14a30b096624
15575996c430
hex3127cb2958

211121023320 has 256 divisors, whose sum is σ = 726493363200. Its totient is φ = 54501672960.

The previous prime is 211121023297. The next prime is 211121023327. The reversal of 211121023320 is 23320121112.

211121023320 is a `hidden beast` number, since 2 + 111 + 210 + 23 + 320 = 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 = 211121023293 and 211121023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121023327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5227605 + ... + 5267835.

It is an arithmetic number, because the mean of its divisors is an integer number (2837864700).

Almost surely, 2211121023320 is an apocalyptic number.

211121023320 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 211121023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363246681600).

211121023320 is an abundant number, since it is smaller than the sum of its proper divisors (515372339880).

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

211121023320 is a wasteful number, since it uses less digits than its factorization.

211121023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40407 (or 40397 counting only the distinct ones).

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

Adding to 211121023320 its reverse (23320121112), we get a palindrome (234441144432).

The spelling of 211121023320 in words is "two hundred eleven billion, one hundred twenty-one million, twenty-three thousand, three hundred twenty".