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210100122102 = 231341279123539
BaseRepresentation
bin1100001110101011110…
…0010111000111110110
3202002022020110001022210
43003222330113013312
511420241112401402
6240304010434250
721115322400063
oct3035274270766
9662266401283
10210100122102
1181115050452
1234876132986
1316a739938a0
14a251667c6a
1556ea00d06c
hex30eaf171f6

210100122102 has 64 divisors (see below), whose sum is σ = 463746286080. Its totient is φ = 63044179200.

The previous prime is 210100122073. The next prime is 210100122109. The reversal of 210100122102 is 201221001012.

It is a super-2 number, since 2×2101001221022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100122109) 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, 8913849 + ... + 8937387.

It is an arithmetic number, because the mean of its divisors is an integer number (7246035720).

Almost surely, 2210100122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231873143040).

210100122102 is an abundant number, since it is smaller than the sum of its proper divisors (253646163978).

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

210100122102 is a wasteful number, since it uses less digits than its factorization.

210100122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26389.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210100122102 its reverse (201221001012), we get a palindrome (411321123114).

The spelling of 210100122102 in words is "two hundred ten billion, one hundred million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 2791 3198 5582 8373 16746 23539 36283 47078 70617 72566 108849 114431 141234 217698 228862 306007 343293 612014 686586 918021 965099 1487603 1836042 1930198 2895297 2975206 4462809 5790594 8925618 12546287 25092574 37638861 65697349 75277722 131394698 197092047 394184094 854065537 1708131074 2562196611 2693591309 5124393222 5387182618 8080773927 16161547854 35016687017 70033374034 105050061051 210100122102