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211010010020 = 225101104460401
BaseRepresentation
bin1100010010000100101…
…1010011101110100100
3202011122122120010220022
43010201023103232210
511424122030310040
6240534152454312
721150011330405
oct3044113235644
9664578503808
10211010010020
1181541716737
1234a8a9aa398
1316b8a33cac4
14a2da4399ac
15574ed3e6b5
hex31212d3ba4

211010010020 has 24 divisors (see below), whose sum is σ = 447508362168. Its totient is φ = 83568320000.

The previous prime is 211010010017. The next prime is 211010010023. The reversal of 211010010020 is 20010010112.

It is an interprime number because it is at equal distance from previous prime (211010010017) and next prime (211010010023).

It can be written as a sum of positive squares in 4 ways, for example, as 12193901476 + 198816108544 = 110426^2 + 445888^2 .

It is not an unprimeable number, because it can be changed into a prime (211010010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52228181 + ... + 52232220.

It is an arithmetic number, because the mean of its divisors is an integer number (18646181757).

Almost surely, 2211010010020 is an apocalyptic number.

211010010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010010020 is an abundant number, since it is smaller than the sum of its proper divisors (236498352148).

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

211010010020 is a wasteful number, since it uses less digits than its factorization.

211010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104460511 (or 104460509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211010010020 its reverse (20010010112), we get a palindrome (231020020132).

The spelling of 211010010020 in words is "two hundred eleven billion, ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 104460401 208920802 417841604 522302005 1044604010 2089208020 10550500501 21101001002 42202002004 52752502505 105505005010 211010010020