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211220212110 = 23529242781853
BaseRepresentation
bin1100010010110110110…
…1001010100110001110
3202012012022002111221220
43010231231022212032
511430034333241420
6241011102104210
721155143115445
oct3045555124616
9665168074856
10211220212110
118163a337676
1234b2927b066
1316bc1a5993b
14a31a315d5c
155763511840
hex312db4a98e

211220212110 has 32 divisors (see below), whose sum is σ = 524408804640. Its totient is φ = 54383134848.

The previous prime is 211220212067. The next prime is 211220212117. The reversal of 211220212110 is 11212022112.

211220212110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112202121102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211220212110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220212117) 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 15 ways as a sum of consecutive naturals, for example, 121390057 + ... + 121391796.

It is an arithmetic number, because the mean of its divisors is an integer number (16387775145).

Almost surely, 2211220212110 is an apocalyptic number.

211220212110 is an abundant number, since it is smaller than the sum of its proper divisors (313188592530).

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

211220212110 is a wasteful number, since it uses less digits than its factorization.

211220212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242781892.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211220212110 its reverse (11212022112), we get a palindrome (222432234222).

The spelling of 211220212110 in words is "two hundred eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 242781853 485563706 728345559 1213909265 1456691118 2427818530 3641727795 7040673737 7283455590 14081347474 21122021211 35203368685 42244042422 70406737370 105610106055 211220212110