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10011011011001 = 71113731011379901
BaseRepresentation
bin1001000110101101111011…
…0000010101000110111001
31022110001011120101120022122
42101223132300111012321
52303010022304323001
633142554525131025
72052162120400220
oct221533660250671
938401146346278
1010011011011001
11320a711802610
12115824b3b9a75
1357805a439950
1426876d667cb7
15125621959b1b
hex91adec151b9

10011011011001 has 128 divisors (see below), whose sum is σ = 13862232179712. Its totient is φ = 6979737600000.

The previous prime is 10011011010991. The next prime is 10011011011003.

10011011011001 is nontrivially palindromic in base 10.

10011011011001 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 10011011011001 - 210 = 10011011009977 is a prime.

10011011011001 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 10011011011001.

It is not an unprimeable number, because it can be changed into a prime (10011011011003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1011106151 + ... + 1011116051.

It is an arithmetic number, because the mean of its divisors is an integer number (108298688904).

Almost surely, 210011011011001 is an apocalyptic number.

10011011011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011011011001 is a deficient number, since it is larger than the sum of its proper divisors (3851221168711).

10011011011001 is a wasteful number, since it uses less digits than its factorization.

10011011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10243.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 1001101 and 1011001, that multiplied together give a palindrome (1012114112101).

The spelling of 10011011011001 in words is "ten trillion, eleven billion, eleven million, eleven thousand, one".

Divisors: 1 7 11 13 73 77 91 101 137 143 511 707 803 949 959 1001 1111 1313 1507 1781 5621 6643 7373 7777 9191 9901 10001 10439 10549 12467 13837 14443 19591 51611 69307 70007 73073 81103 95849 96859 101101 108911 110011 128713 130013 137137 152207 179881 567721 670943 722773 762377 770077 900991 910091 1000001 1010101 1054339 1065449 1259167 1356437 1415843 1430143 1978691 5059411 7000007 7070707 7380373 7950503 9396049 9495059 9910901 10011001 11000011 11111111 13000013 13131313 13850837 14920807 17633681 55653521 65772343 73000073 77000077 77777777 91000091 91919191 99019901 103356539 104445649 123435767 137000137 143000143 144444443 193970491 511000511 693139307 723495773 803000803 949000949 959000959 1001001001 1011111101 1089218911 1287258713 1357793437 1507001507 1781001781 5621005621 6643006643 7624532377 9010810991 10001010001 10439010439 10549010549 12467012467 14159845843 19591019591 70007070007 73073073073 99118920901 110011110011 130013130013 137137137137 770077770077 910091910091 1430144430143 10011011011001