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211303303112 = 231110146795081
BaseRepresentation
bin1100010011001010101…
…0001000011111001000
3202012102002102222101102
43010302222020133020
511430222121144422
6241023231040532
721160202304326
oct3046252103710
9665362388342
10211303303112
118168222a120
1234b51070148
1316c0602cc05
14a327384d16
15576a976192
hex3132a887c8

211303303112 has 64 divisors (see below), whose sum is σ = 436669833600. Its totient is φ = 95056960000.

The previous prime is 211303303097. The next prime is 211303303117.

211303303112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (211303303117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41584412 + ... + 41589492.

It is an arithmetic number, because the mean of its divisors is an integer number (6822966150).

Almost surely, 2211303303112 is an apocalyptic number.

211303303112 is a gapful number since it is divisible by the number (22) 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 211303303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218334916800).

211303303112 is an abundant number, since it is smaller than the sum of its proper divisors (225366530488).

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

211303303112 is a wasteful number, since it uses less digits than its factorization.

211303303112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 211303 and 303112, that added together give a palindrome (514415).

The spelling of 211303303112 in words is "two hundred eleven billion, three hundred three million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 4679 5081 8888 9358 10162 18716 20324 37432 40648 51469 55891 102938 111782 205876 223564 411752 447128 472579 513181 945158 1026362 1890316 2052724 3780632 4105448 5198369 5644991 10396738 11289982 20793476 22579964 23773999 41586952 45159928 47547998 95095996 190191992 261513989 523027978 1046055956 2092111912 2401173899 4802347798 9604695596 19209391192 26412912889 52825825778 105651651556 211303303112