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991100100011 = 717415327114143
BaseRepresentation
bin11100110110000100010…
…10110101110110101011
310111202012110200122212112
432123002022311312223
5112214233111200021
62035145522432535
7131414245564520
oct16330212656653
93452173618775
10991100100011
1135236119434a
121400b950274b
13725ca495728
1435d8044b147
151abaa25dd5b
hexe6c22b5dab

991100100011 has 64 divisors (see below), whose sum is σ = 1256454291456. Its totient is φ = 762446131200.

The previous prime is 991100099989. The next prime is 991100100017. The reversal of 991100100011 is 110001001199.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 991100100011 - 210 = 991100098987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 991100100011.

It is not an unprimeable number, because it can be changed into a prime (991100100017) 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, 70070006 + ... + 70084148.

It is an arithmetic number, because the mean of its divisors is an integer number (19632098304).

Almost surely, 2991100100011 is an apocalyptic number.

991100100011 is a deficient number, since it is larger than the sum of its proper divisors (265354191445).

991100100011 is a wasteful number, since it uses less digits than its factorization.

991100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14532.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 991100100011 in words is "nine hundred ninety-one billion, one hundred million, one hundred thousand, eleven".

Divisors: 1 7 17 41 53 119 271 287 371 697 901 1897 2173 4607 4879 6307 11111 14143 14363 15211 32249 36941 77777 99001 100541 188887 240431 244171 258587 579863 588883 749579 1322209 1683017 1709197 3832753 4059041 4122181 5247053 9857671 10011011 12742843 26829271 30732739 65156801 69003697 70077077 89199901 157142873 203135909 215129173 456097607 522456563 1100000111 1421951363 2671428841 3453310453 3657195941 8328572269 18700001887 24173173171 58300005883 141585728573 991100100011