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10011012110001 = 3272313152739779
BaseRepresentation
bin1001000110101101111011…
…0100100001011010110001
31022110001011122110101212100
42101223132310201122301
52303010023100010001
633142555004451013
72052162132625260
oct221533664413261
938401148411770
1010011012110001
11320a712393281
12115824b849a69
1357805a732c46
1426876d8725d7
15125621ac5586
hex91aded216b1

10011012110001 has 48 divisors (see below), whose sum is σ = 17376280796160. Its totient is φ = 5430087542880.

The previous prime is 10011012109991. The next prime is 10011012110023. The reversal of 10011012110001 is 10001121011001.

10011012110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011012110001 - 226 = 10010945001137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10011012110051) 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, 26180071 + ... + 26559708.

It is an arithmetic number, because the mean of its divisors is an integer number (362005849920).

Almost surely, 210011012110001 is an apocalyptic number.

It is an amenable number.

10011012110001 is a deficient number, since it is larger than the sum of its proper divisors (7365268686159).

10011012110001 is a wasteful number, since it uses less digits than its factorization.

10011012110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52739946 (or 52739943 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The spelling of 10011012110001 in words is "ten trillion, eleven billion, twelve million, one hundred ten thousand, one".

Divisors: 1 3 7 9 21 23 63 69 131 161 207 393 483 917 1179 1449 2751 3013 8253 9039 21091 27117 63273 189819 52739779 158219337 369178453 474658011 1107535359 1213014917 3322606077 3639044751 6908911049 8491104419 10917134253 20726733147 25473313257 48362377343 62180199441 76419939771 145087132029 158904954127 435261396087 476714862381 1112334678889 1430144587143 3337004036667 10011012110001