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107143404401 = 112231391731601
BaseRepresentation
bin110001111001000111…
…1101001101101110001
3101020120000012212220002
41203302033221231301
53223412202420101
6121115422555345
710512053624255
oct1436217515561
9336500185802
10107143404401
1141491727600
1218922138b55
13a146745457
145285a6a265
152bc142dd6b
hex18f23e9b71

107143404401 has 48 divisors (see below), whose sum is σ = 124566906240. Its totient is φ = 91905792000.

The previous prime is 107143404367. The next prime is 107143404421. The reversal of 107143404401 is 104404341701.

It is a de Polignac number, because none of the positive numbers 2k-107143404401 is a prime.

It is a super-2 number, since 2×1071434044012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107143404421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66922001 + ... + 66923601.

It is an arithmetic number, because the mean of its divisors is an integer number (2595143880).

Almost surely, 2107143404401 is an apocalyptic number.

107143404401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107143404401 is a deficient number, since it is larger than the sum of its proper divisors (17423501839).

107143404401 is a wasteful number, since it uses less digits than its factorization.

107143404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 107143404401 in words is "one hundred seven billion, one hundred forty-three million, four hundred four thousand, four hundred one".

Divisors: 1 11 23 121 139 173 253 1529 1601 1903 2783 3197 3979 16819 17611 20933 24047 35167 36823 43769 193721 222539 264517 276973 386837 405053 481459 553081 2447929 2909687 3046703 4455583 5118397 6083891 6370379 26927219 33513733 38499247 56302367 66922801 70074169 423491717 619326037 770815859 885482681 4658408887 9740309491 107143404401