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210200122020 = 2235717231379343
BaseRepresentation
bin1100001111000011100…
…1110101001010100100
3202002120012121120102110
43003300321311022210
511420442212401040
6240321542041020
721120645362040
oct3036071651244
9662505546373
10210200122020
1181166541909
12348a3719170
1316a8b607335
14a260a59020
155703bb2980
hex30f0e752a4

210200122020 has 384 divisors, whose sum is σ = 748677758976. Its totient is φ = 42933141504.

The previous prime is 210200121983. The next prime is 210200122031. The reversal of 210200122020 is 20221002012.

210200122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210200121987 and 210200122005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22493469 + ... + 22502811.

It is an arithmetic number, because the mean of its divisors is an integer number (1949681664).

Almost surely, 2210200122020 is an apocalyptic number.

210200122020 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 210200122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374338879488).

210200122020 is an abundant number, since it is smaller than the sum of its proper divisors (538477636956).

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

210200122020 is a wasteful number, since it uses less digits than its factorization.

210200122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210200122020 its reverse (20221002012), we get a palindrome (230421124032).

The spelling of 210200122020 in words is "two hundred ten billion, two hundred million, one hundred twenty-two thousand, twenty".