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124344244101 = 3711343103457
BaseRepresentation
bin111001111001101111…
…1101001011110000101
3102212221202122002002010
41303303133221132011
54014124111302401
6133042320404433
711661236431050
oct1636337513605
9385852562063
10124344244101
11488090a2000
1220122776719
13b9582280cc
1460382a9a97
15337b578ed6
hex1cf37e9785

124344244101 has 64 divisors (see below), whose sum is σ = 213259216896. Its totient is φ = 63091607040.

The previous prime is 124344244039. The next prime is 124344244111. The reversal of 124344244101 is 101442443421.

It is a happy number.

It is not a de Polignac number, because 124344244101 - 27 = 124344243973 is a prime.

It is a super-2 number, since 2×1243442441012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124344244111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150165 + ... + 1253621.

It is an arithmetic number, because the mean of its divisors is an integer number (3332175264).

Almost surely, 2124344244101 is an apocalyptic number.

124344244101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124344244101 is a deficient number, since it is larger than the sum of its proper divisors (88914972795).

124344244101 is a wasteful number, since it uses less digits than its factorization.

124344244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103543 (or 103521 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 124344244101 its reverse (101442443421), we get a palindrome (225786687522).

The spelling of 124344244101 in words is "one hundred twenty-four billion, three hundred forty-four million, two hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 11 21 33 43 77 121 129 231 301 363 473 847 903 1331 1419 2541 3311 3993 5203 9317 9933 15609 27951 36421 57233 103457 109263 171699 310371 400631 724199 1138027 1201893 2172597 3414081 4448651 7966189 12518297 13345953 23898567 31140557 37554891 48935161 87628079 93421671 137701267 146805483 262884237 342546127 413103801 538286771 963908869 1027638381 1614860313 2891726607 3768007397 5921154481 11304022191 17763463443 41448081367 124344244101