Search a number
-
+
124102031242101 = 3112312719963110253
BaseRepresentation
bin11100001101111011000001…
…011111001111001101110101
3121021102001000221020212110020
4130031323001133033031311
5112231241424444221401
61115535404110315353
735066035011351363
oct3415730137171565
9537361027225406
10124102031242101
11365a7415337160
1211b0397b1b8b59
135432a047ca633
1422907db0dc633
15e532a2d2ed36
hex70dec17cf375

124102031242101 has 128 divisors (see below), whose sum is σ = 191118547353600. Its totient is φ = 70898583571200.

The previous prime is 124102031242097. The next prime is 124102031242109. The reversal of 124102031242101 is 101242130201421.

It is not a de Polignac number, because 124102031242101 - 22 = 124102031242097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124102031242109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12103967491 + ... + 12103977743.

It is an arithmetic number, because the mean of its divisors is an integer number (1493113651200).

Almost surely, 2124102031242101 is an apocalyptic number.

124102031242101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124102031242101 is a deficient number, since it is larger than the sum of its proper divisors (67016516111499).

124102031242101 is a wasteful number, since it uses less digits than its factorization.

124102031242101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 124102031242101 its reverse (101242130201421), we get a palindrome (225344161443522).

The spelling of 124102031242101 in words is "one hundred twenty-four trillion, one hundred two billion, thirty-one million, two hundred forty-two thousand, one hundred one".

Divisors: 1 3 11 23 33 69 127 199 253 381 597 631 759 1397 1893 2189 2921 4191 4577 6567 6941 8763 10253 13731 14513 20823 25273 30759 32131 43539 50347 75819 80137 96393 112783 125569 151041 159643 235819 240411 278003 338349 376707 478929 581279 707457 834009 881507 1302131 1381259 1743837 1843151 2040347 2594009 2644521 2888087 3906393 4143777 5529453 6121041 6394069 6469643 7782027 8664261 14323441 15947263 19182207 19408929 20274661 22443817 29949013 31768957 42970323 46927981 47841789 60823983 67331451 71166073 89847039 95306871 140783943 148801789 175419893 213498219 259124069 329439143 366787049 446405367 516207791 526259679 777372207 821644661 988317429 1100361147 1287458957 1548623373 1636819679 2464933983 2850364759 3862376871 4034657539 4910459037 5959853587 8551094277 9038091271 12103972617 14162048527 17879560761 18897827203 27114273813 29611556011 42486145581 56693481609 65558389457 88834668033 163507287539 196675168371 207876099233 325727116121 490521862617 623628297699 977181348363 1798580162929 3760667613397 5395740488787 11282002840191 41367343747367 124102031242101