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210221020112112 = 243417587122313291
BaseRepresentation
bin101111110011000111100101…
…001110100110010011110000
31000120022221012100012022220000
4233303013211032212103300
5210023230122122041422
62023034111534350000
762164652564640612
oct5763074516462360
91016287170168800
10210221020112112
1160a8a263447949
121b6b22aa35b300
13903b9ac570819
1439caa747c0db2
1519484e7a27cac
hexbf31e53a64f0

210221020112112 has 400 divisors, whose sum is σ = 645904998934272. Its totient is φ = 65780554844160.

The previous prime is 210221020112101. The next prime is 210221020112153. The reversal of 210221020112112 is 211211020122012.

210221020112112 is a `hidden beast` number, since 210 + 2 + 210 + 20 + 11 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15816788187 + ... + 15816801477.

Almost surely, 2210221020112112 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 210221020112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322952499467136).

210221020112112 is an abundant number, since it is smaller than the sum of its proper divisors (435683978822160).

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

210221020112112 is a wasteful number, since it uses less digits than its factorization.

210221020112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15138 (or 15123 counting only the distinct ones).

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

Adding to 210221020112112 its reverse (211211020122012), we get a palindrome (421432040234124).

The spelling of 210221020112112 in words is "two hundred ten trillion, two hundred twenty-one billion, twenty million, one hundred twelve thousand, one hundred twelve".