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303013310112 = 253223208321961
BaseRepresentation
bin1000110100011010000…
…00000010111010100000
31001222010112000001010100
410122031000002322200
514431032401410422
6351111414502400
730614644432122
oct4321500027240
91058115001110
10303013310112
11107564128837
124a886664a00
13227601c3546
1410947411212
157d36ed17ac
hex468d002ea0

303013310112 has 144 divisors (see below), whose sum is σ = 899631690048. Its totient is φ = 96562160640.

The previous prime is 303013310101. The next prime is 303013310129. The reversal of 303013310112 is 211013310303.

It is a happy number.

303013310112 is a `hidden beast` number, since 30 + 301 + 331 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3030133101122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13786812 + ... + 13808772.

It is an arithmetic number, because the mean of its divisors is an integer number (6247442292).

Almost surely, 2303013310112 is an apocalyptic number.

303013310112 is a gapful number since it is divisible by the number (32) 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 303013310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449815845024).

303013310112 is an abundant number, since it is smaller than the sum of its proper divisors (596618379936).

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

303013310112 is a wasteful number, since it uses less digits than its factorization.

303013310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24083 (or 24072 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 303013310112 its reverse (211013310303), we get a palindrome (514026620415).

The spelling of 303013310112 in words is "three hundred three billion, thirteen million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2083 2208 3312 4166 6249 6624 8332 12498 16664 18747 21961 24996 33328 37494 43922 47909 49992 65883 66656 74988 87844 95818 99984 131766 143727 149976 175688 191636 197649 199968 263532 287454 299952 351376 383272 395298 431181 505103 527064 574908 599904 702752 766544 790596 862362 1010206 1054128 1149816 1515309 1533088 1581192 1724724 2020412 2108256 2299632 3030618 3162384 3449448 4040824 4545927 4599264 6061236 6324768 6898896 8081648 9091854 12122472 13797792 16163296 18183708 24244944 36367416 45744763 48489888 72734832 91489526 137234289 145469664 182979052 274468578 365958104 411702867 548937156 731916208 823405734 1052129549 1097874312 1463832416 1646811468 2104259098 2195748624 3156388647 3293622936 4208518196 4391497248 6312777294 6587245872 8417036392 9469165941 12625554588 13174491744 16834072784 18938331882 25251109176 33668145568 37876663764 50502218352 75753327528 101004436704 151506655056 303013310112