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211010012220 = 2235741786161
BaseRepresentation
bin1100010010000100101…
…1010100010000111100
3202011122122120020220210
43010201023110100330
511424122030342340
6240534152512420
721150011340000
oct3044113242074
9664578506823
10211010012220
1181541718357
1234a8a9ab710
1316b8a340ac7
14a2da43a700
15574ed40180
hex31212d443c

211010012220 has 240 divisors, whose sum is σ = 729811440288. Its totient is φ = 45393223680.

The previous prime is 211010012219. The next prime is 211010012221. The reversal of 211010012220 is 22210010112.

It is an interprime number because it is at equal distance from previous prime (211010012219) and next prime (211010012221).

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 = 211010012196 and 211010012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010012221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2405940 + ... + 2492100.

Almost surely, 2211010012220 is an apocalyptic number.

211010012220 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 211010012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364905720144).

211010012220 is an abundant number, since it is smaller than the sum of its proper divisors (518801428068).

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

211010012220 is a wasteful number, since it uses less digits than its factorization.

211010012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86218 (or 86195 counting only the distinct ones).

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

Adding to 211010012220 its reverse (22210010112), we get a palindrome (233220022332).

The spelling of 211010012220 in words is "two hundred eleven billion, ten million, twelve thousand, two hundred twenty".