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101143241124003 = 321317347175383597
BaseRepresentation
bin10110111111110100111110…
…111101010110100010100011
3111021010012101101011222210200
4112333310332331112202203
5101224112324211432003
6555040321415400243
730206233542306561
oct2677647675264243
9437105341158720
10101143241124003
112a2556758a7691
12b4162a2983083
1344589c7610610
141ad95050d8a31
15ba5e7b57a6a3
hex5bfd3ef568a3

101143241124003 has 96 divisors (see below), whose sum is σ = 167166255162816. Its totient is φ = 58377860849664.

The previous prime is 101143241124001. The next prime is 101143241124049. The reversal of 101143241124003 is 300421142341101.

It is a happy number.

101143241124003 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 3 + 2 + 411 + 240 + 0 + 3 = 666.

It is not a de Polignac number, because 101143241124003 - 21 = 101143241124001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101143241124001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209849001 + ... + 1209932597.

It is an arithmetic number, because the mean of its divisors is an integer number (1741315157946).

Almost surely, 2101143241124003 is an apocalyptic number.

101143241124003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101143241124003 is a deficient number, since it is larger than the sum of its proper divisors (66023014038813).

101143241124003 is a wasteful number, since it uses less digits than its factorization.

101143241124003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85733 (or 85730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101143241124003 its reverse (300421142341101), we get a palindrome (401564383465104).

The spelling of 101143241124003 in words is "one hundred one trillion, one hundred forty-three billion, two hundred forty-one million, one hundred twenty-four thousand, three".

Divisors: 1 3 9 13 17 39 51 117 153 221 347 663 1041 1753 1989 3123 4511 5259 5899 13533 15777 17697 22789 29801 40599 53091 68367 76687 83597 89403 205101 230061 250791 268209 387413 608291 690183 752373 1086761 1162239 1421149 1824873 3260283 3486717 4263447 5474619 7907783 9780849 10340947 12790341 18474937 23723349 29008159 31022841 55424811 71170047 87024477 93068523 134432311 146545541 166274433 261073431 377106067 403296933 439636623 493138703 1131318201 1209890799 1318909869 1479416109 1905092033 2491274197 3393954603 4438248327 5715276099 6410803139 7473822591 17145828297 19232409417 22421467773 32386564561 50851302727 57697228251 97159693683 152553908181 291479081049 457661724543 661066935451 864472146359 1983200806353 2593416439077 5949602419059 7780249317231 11238137902667 33714413708001 101143241124003