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241312113 = 32722337643
BaseRepresentation
bin11100110001000…
…10000101110001
3121211001220222200
432120202011301
5443233441423
635540053413
75660055600
oct1630420561
9554056880
10241312113
1111423a3a9
1268994269
133acc0143
1424097a37
15162b9d43
hexe622171

241312113 has 72 divisors (see below), whose sum is σ = 435210048. Its totient is φ = 128132928.

The previous prime is 241312109. The next prime is 241312117. The reversal of 241312113 is 311213142.

241312113 is a `hidden beast` number, since 241 + 312 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (241312109) and next prime (241312117).

It is not a de Polignac number, because 241312113 - 22 = 241312109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (241312117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 374970 + ... + 375612.

It is an arithmetic number, because the mean of its divisors is an integer number (6044584).

Almost surely, 2241312113 is an apocalyptic number.

241312113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

241312113 is a deficient number, since it is larger than the sum of its proper divisors (193897935).

241312113 is a wasteful number, since it uses less digits than its factorization.

241312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 241312113 is about 15534.2239265436. The cubic root of 241312113 is about 622.5769547288.

Adding to 241312113 its reverse (311213142), we get a palindrome (552525255).

It can be divided in two parts, 24131 and 2113, that added together give a square (26244 = 1622).

The spelling of 241312113 in words is "two hundred forty-one million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 23 37 49 63 69 111 147 161 207 259 333 441 483 643 777 851 1127 1449 1813 1929 2331 2553 3381 4501 5439 5787 5957 7659 10143 13503 14789 16317 17871 23791 31507 40509 41699 44367 53613 71373 94521 103523 125097 133101 166537 214119 283563 310569 375291 499611 547193 724661 931707 1165759 1498833 1641579 2173983 3497277 3830351 4924737 6521949 10491831 11491053 26812457 34473159 80437371 241312113