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210010211002020 = 2235111397125207739
BaseRepresentation
bin101111110000000011010000…
…000001101010011010100100
31000112120210001200122221212210
4233300003100001222122210
5210011301403004031040
62022353205315443420
762143510543033242
oct5760032001523244
91015523050587783
10210010211002020
1160a08915179310
121b6794768b6570
139024b54a41820
1439c0796d1d792
151942caa66e480
hexbf00d006a6a4

210010211002020 has 192 divisors, whose sum is σ = 691542282654720. Its totient is φ = 46946891251200.

The previous prime is 210010211001977. The next prime is 210010211002021. The reversal of 210010211002020 is 20200112010012.

It is a super-2 number, since 2×2100102110020202 (a number of 29 digits) contains 22 as substring.

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 = 210010211001987 and 210010211002005.

It is not an unprimeable number, because it can be changed into a prime (210010211002021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4272690 + ... + 20935049.

It is an arithmetic number, because the mean of its divisors is an integer number (3601782722160).

Almost surely, 2210010211002020 is an apocalyptic number.

210010211002020 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 210010211002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345771141327360).

210010211002020 is an abundant number, since it is smaller than the sum of its proper divisors (481532071652700).

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

210010211002020 is a wasteful number, since it uses less digits than its factorization.

210010211002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25208746 (or 25208744 counting only the distinct ones).

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

Adding to 210010211002020 its reverse (20200112010012), we get a palindrome (230210323012032).

The spelling of 210010211002020 in words is "two hundred ten trillion, ten billion, two hundred eleven million, two thousand, twenty".