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107107447741041 = 31123753331454577
BaseRepresentation
bin11000010110100111100101…
…011000000001101001110001
3112001020101001012011021221110
4120112213211120001221301
5103014322023110203131
61015444252054143533
731363154255140626
oct3026474530015161
9461211035137843
10107107447741041
1131145016a67700
121001a183651ba9
13479c25c272667
141c6405729634d
15c5b19ceb6646
hex6169e5601a71

107107447741041 has 96 divisors (see below), whose sum is σ = 164753817346944. Its totient is φ = 61780151347200.

The previous prime is 107107447740977. The next prime is 107107447741087. The reversal of 107107447741041 is 140147744701701.

It is not a de Polignac number, because 107107447741041 - 26 = 107107447740977 is a prime.

It is a super-2 number, since 2×1071074477410412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107107447749041) 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, 235392745 + ... + 235847321.

It is an arithmetic number, because the mean of its divisors is an integer number (1716185597364).

Almost surely, 2107107447741041 is an apocalyptic number.

107107447741041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107107447741041 is a deficient number, since it is larger than the sum of its proper divisors (57646369605903).

107107447741041 is a wasteful number, since it uses less digits than its factorization.

107107447741041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455023 (or 455012 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 48.

The spelling of 107107447741041 in words is "one hundred seven trillion, one hundred seven billion, four hundred forty-seven million, seven hundred forty-one thousand, forty-one".

Divisors: 1 3 11 33 37 53 111 121 159 331 363 407 583 993 1221 1749 1961 3641 4477 5883 6413 10923 12247 13431 17543 19239 21571 36741 40051 52629 64713 120153 134717 192973 237281 404151 454577 578919 649091 711843 1363731 1481887 1947273 2122703 4445661 5000347 6368109 7140001 15001041 16819349 21420003 24092581 50458047 55003817 72277743 78540011 150464987 165011451 185012839 235620033 265018391 451394961 555038517 795055173 891425497 1655114857 2035141229 2674276491 2915202301 4965344571 5567204519 6105423687 7974644311 8745606903 9805680467 16701613557 18206263427 23923932933 29417041401 54618790281 61239249709 87721087421 107862485137 183717749127 263163262263 295061839507 323587455411 673631746799 885185518521 964931961631 2020895240397 2894795884893 3245680234577 9737040703731 35702482580347 107107447741041