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11001000011199 = 3112323781121001
BaseRepresentation
bin1010000000010101111010…
…1100101010010110111111
31102221200111121100111210020
42200011132230222112333
52420220022000324244
635221442321143223
72213540015142012
oct240053654522677
942850447314706
1011001000011199
113561552790150
12129809878ab13
1361a50b666363
142a06462c7379
1514126438dd19
hexa015eb2a5bf

11001000011199 has 96 divisors (see below), whose sum is σ = 17201513027328. Its totient is φ = 6197083200000.

The previous prime is 11001000011179. The next prime is 11001000011201. The reversal of 11001000011199 is 99111000010011.

It is not a de Polignac number, because 11001000011199 - 211 = 11001000009151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001000011179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523821699 + ... + 523842699.

It is an arithmetic number, because the mean of its divisors is an integer number (179182427368).

Almost surely, 211001000011199 is an apocalyptic number.

11001000011199 is a deficient number, since it is larger than the sum of its proper divisors (6200513016129).

11001000011199 is a wasteful number, since it uses less digits than its factorization.

11001000011199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21886 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 11001000011199 in words is "eleven trillion, one billion, eleven thousand, one hundred ninety-nine".

Divisors: 1 3 11 23 33 37 69 111 253 407 529 759 811 851 1221 1587 2433 2553 5819 8921 9361 17457 18653 19573 21001 26763 28083 30007 55959 58719 63003 90021 205183 215303 231011 330077 429019 483023 615549 645909 690161 693033 777037 990231 1287057 1449069 2070483 2331111 4719209 5313253 7591771 8547407 11109529 14157627 15873703 15939759 17031811 17871851 22775313 25642221 33328587 47621109 51095433 53615553 122204819 174610733 187349921 196590361 366614457 391731653 411052573 523832199 562049763 589771083 630177007 1175194959 1233157719 1890531021 4309048183 4521578303 6931947077 9009828019 12927144549 13564734909 14494071161 20795841231 27029484057 43482213483 99108108209 159434782771 297324324627 333363636703 478304348313 1000090910109 3667000003733 11001000011199