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210211021202112 = 26337116314942869
BaseRepresentation
bin101111110010111110010001…
…001111110010001011000000
31000120021222101111111001222000
4233302332101033302023000
5210023044132411431422
62023025335431144000
762164150032415530
oct5762762117621300
91016258344431860
10210211021202112
1160a85aa2307867
121b6b0379815000
13903aa77b75528
1439ca3a68634c0
15194810ecd2cac
hexbf2f913f22c0

210211021202112 has 224 divisors, whose sum is σ = 706871867635200. Its totient is φ = 60008645200896.

The previous prime is 210211021202111. The next prime is 210211021202153. The reversal of 210211021202112 is 211202120112012.

210211021202112 is a `hidden beast` number, since 210 + 21 + 10 + 212 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (210211021202111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6596214 + ... + 21539082.

Almost surely, 2210211021202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210211021202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353435933817600).

210211021202112 is an abundant number, since it is smaller than the sum of its proper divisors (496660846433088).

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

210211021202112 is a wasteful number, since it uses less digits than its factorization.

210211021202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944060 (or 14944044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210211021202112 its reverse (211202120112012), we get a palindrome (421413141314124).

The spelling of 210211021202112 in words is "two hundred ten trillion, two hundred eleven billion, twenty-one million, two hundred two thousand, one hundred twelve".