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110126664564 = 223717405719009
BaseRepresentation
bin110011010010000001…
…1111000101101110100
3101112020220202012111020
41212210003320231310
53301014411231224
6122331432341140
710646020126620
oct1464403705564
9345226665436
10110126664564
11427826a4074
12194152447b0
13a500818457
145489d56180
152ce82b7c79
hex19a40f8b74

110126664564 has 96 divisors (see below), whose sum is σ = 311038882560. Its totient is φ = 29605036032.

The previous prime is 110126664553. The next prime is 110126664601. The reversal of 110126664564 is 465466621011.

It is a happy number.

110126664564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5783892 + ... + 5802900.

It is an arithmetic number, because the mean of its divisors is an integer number (3239988360).

Almost surely, 2110126664564 is an apocalyptic number.

110126664564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

110126664564 is an abundant number, since it is smaller than the sum of its proper divisors (200912217996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110126664564 is a wasteful number, since it uses less digits than its factorization.

110126664564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23095 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 110126664564 in words is "one hundred ten billion, one hundred twenty-six million, six hundred sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 4057 8114 12171 16228 19009 24342 28399 38018 48684 56798 57027 68969 76036 85197 113596 114054 133063 137938 170394 206907 228108 266126 275876 323153 340788 399189 413814 482783 532252 646306 798378 827628 965566 969459 1292612 1448349 1596756 1931132 1938918 2262071 2896698 3877836 4524142 5793396 6786213 9048284 13572426 27144852 77119513 154239026 231358539 308478052 462717078 539836591 925434156 1079673182 1311031721 1619509773 2159346364 2622063442 3239019546 3933095163 5244126884 6478039092 7866190326 9177222047 15732380652 18354444094 27531666141 36708888188 55063332282 110126664564