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210121321410 = 23257111317137197
BaseRepresentation
bin1100001110110000110…
…1001110101111000010
3202002100201100002022100
43003230031032233002
511420312024241120
6240310045051230
721116000522460
oct3035415165702
9662321302270
10210121321410
118112600a840
1234881256b16
1316a781a6b60
14a2543c5830
1556ebce9490
hex30ec34ebc2

210121321410 has 384 divisors, whose sum is σ = 776667999744. Its totient is φ = 37931950080.

The previous prime is 210121321381. The next prime is 210121321429. The reversal of 210121321410 is 14123121012.

210121321410 is a `hidden beast` number, since 21 + 0 + 1 + 213 + 21 + 410 = 666.

210121321410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101213214102 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1462932 + ... + 1600128.

It is an arithmetic number, because the mean of its divisors is an integer number (2022572916).

Almost surely, 2210121321410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210121321410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388333999872).

210121321410 is an abundant number, since it is smaller than the sum of its proper divisors (566546678334).

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

210121321410 is a wasteful number, since it uses less digits than its factorization.

210121321410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137258 (or 137255 counting only the distinct ones).

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

Adding to 210121321410 its reverse (14123121012), we get a palindrome (224244442422).

The spelling of 210121321410 in words is "two hundred ten billion, one hundred twenty-one million, three hundred twenty-one thousand, four hundred ten".