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10011100100001 = 3711133790099991
BaseRepresentation
bin1001000110101110010000…
…0100001011010110100001
31022110001101210000202110020
42101223210010023112201
52303010213111200001
633143011430424053
72052164251550010
oct221534404132641
938401353022406
1010011100100001
11320a758021490
121158275202029
13578072a30030
1426877b418a77
151256296a6736
hex91ae410b5a1

10011100100001 has 64 divisors (see below), whose sum is σ = 18406347165696. Its totient is φ = 4670783481600.

The previous prime is 10011100099981. The next prime is 10011100100017. The reversal of 10011100100001 is 10000100111001.

It is not a de Polignac number, because 10011100100001 - 26 = 10011100099937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10011100100021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44938885 + ... + 45161106.

It is an arithmetic number, because the mean of its divisors is an integer number (287599174464).

Almost surely, 210011100100001 is an apocalyptic number.

10011100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011100100001 is a deficient number, since it is larger than the sum of its proper divisors (8395247065695).

10011100100001 is a wasteful number, since it uses less digits than its factorization.

10011100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90100062.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011100100001 its reverse (10000100111001), we get a palindrome (20011200211002).

It can be divided in two parts, 10011100 and 100001, that added together give a palindrome (10111101).

The spelling of 10011100100001 in words is "ten trillion, eleven billion, one hundred million, one hundred thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 90099991 270299973 630699937 991099901 1171299883 1892099811 2973299703 3333699667 3513899649 6937699307 8199099181 10001099001 12884298713 20813097921 23335897669 24597297543 36670696337 38652896139 43338095671 70007693007 90190090991 110012089011 130014287013 256694874359 270570272973 303366669697 476719052381 770084623077 910100009091 1430157157143 3337033366667 10011100100001