Search a number
-
+
210122021201112 = 233237432301779693
BaseRepresentation
bin101111110001101011011000…
…011011101110010011011000
31000112222110122221021120120200
4233301223120123232103120
5210020114344411413422
62022520420212222200
762154546365040126
oct5761533033562330
91015873587246520
10210122021201112
1160a51281109829
121b69707b90a960
13903256328cb47
1439c5d626b2916
151945b516372ac
hexbf1ad86ee4d8

210122021201112 has 192 divisors, whose sum is σ = 598086632251680. Its totient is φ = 66559125620736.

The previous prime is 210122021201107. The next prime is 210122021201117. The reversal of 210122021201112 is 211102120221012.

210122021201112 is a `hidden beast` number, since 210 + 1 + 220 + 2 + 120 + 1 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (210122021201107) and next prime (210122021201117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122021201117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636603538 + ... + 2636683230.

Almost surely, 2210122021201112 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 210122021201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043316125840).

210122021201112 is an abundant number, since it is smaller than the sum of its proper divisors (387964611050568).

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

210122021201112 is a wasteful number, since it uses less digits than its factorization.

210122021201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102802 (or 102795 counting only the distinct ones).

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

Adding to 210122021201112 its reverse (211102120221012), we get a palindrome (421224141422124).

The spelling of 210122021201112 in words is "two hundred ten trillion, one hundred twenty-two billion, twenty-one million, two hundred one thousand, one hundred twelve".