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210001102020 = 2232519372297247
BaseRepresentation
bin1100001110010100001…
…0101000010011000100
3202002001100010022022100
43003211002220103010
511420040240231040
6240250112232100
721113010625563
oct3034502502304
9662040108270
10210001102020
1181074169176
1234848b3b630
1316a59304118
14a24244dbda
1556e149db30
hex30e50a84c4

210001102020 has 288 divisors, whose sum is σ = 691754918400. Its totient is φ = 51386545152.

The previous prime is 210001102013. The next prime is 210001102021. The reversal of 210001102020 is 20201100012.

It is a super-3 number, since 3×2100011020203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210001101993 and 210001102011.

It is not an unprimeable number, because it can be changed into a prime (210001102021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28974037 + ... + 28981283.

It is an arithmetic number, because the mean of its divisors is an integer number (2401926800).

Almost surely, 2210001102020 is an apocalyptic number.

210001102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210001102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345877459200).

210001102020 is an abundant number, since it is smaller than the sum of its proper divisors (481753816380).

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

210001102020 is a wasteful number, since it uses less digits than its factorization.

210001102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210001102020 its reverse (20201100012), we get a palindrome (230202202032).

The spelling of 210001102020 in words is "two hundred ten billion, one million, one hundred two thousand, twenty".