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11011001120097 = 3112171979057431
BaseRepresentation
bin1010000000111011001011…
…0011110111010101100001
31102222122022121012111000220
42200032302303313111201
52420401012241320342
635230214543433253
72214342605152626
oct240166263672541
942878277174026
1011011001120097
113565815092300
12129a009bb5829
1361b443651484
142a0d1465834d
1514164c3ba5ec
hexa03b2cf7561

11011001120097 has 48 divisors (see below), whose sum is σ = 17173325828736. Its totient is φ = 6248902105600.

The previous prime is 11011001120087. The next prime is 11011001120129. The reversal of 11011001120097 is 79002110011011.

11011001120097 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 11011001120097 - 24 = 11011001120081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011001120087) 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, 3313029 + ... + 5744402.

It is an arithmetic number, because the mean of its divisors is an integer number (357777621432).

Almost surely, 211011001120097 is an apocalyptic number.

11011001120097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11011001120097 is a deficient number, since it is larger than the sum of its proper divisors (6162324708639).

11011001120097 is a wasteful number, since it uses less digits than its factorization.

11011001120097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057670 (or 9057659 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 24.

The spelling of 11011001120097 in words is "eleven trillion, eleven billion, one million, one hundred twenty thousand, ninety-seven".

Divisors: 1 3 11 17 33 51 121 187 197 363 561 591 2057 2167 3349 6171 6501 10047 23837 36839 71511 110517 405229 1215687 9057431 27172293 99631741 153976327 298895223 461928981 1095949151 1693739597 1784313907 3287847453 5081218791 5352941721 18631135567 19627452977 30333336419 55893406701 58882358931 91000009257 215901982747 333666700609 647705948241 1001000101827 3670333706699 11011001120097