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12106043271 = 337673592663
BaseRepresentation
bin10110100011001001…
…11000111110000111
31011020200122201101000
423101210320332013
5144243121341041
65321134304343
7605666445540
oct132144707607
934220581330
1012106043271
115152600543
12241a3580b3
1311ac112c1a
1482bb434c7
154acc1abb6
hex2d1938f87

12106043271 has 64 divisors (see below), whose sum is σ = 20868710400. Its totient is φ = 6792955488.

The previous prime is 12106043267. The next prime is 12106043291. The reversal of 12106043271 is 17234060121.

12106043271 is a `hidden beast` number, since 1 + 21 + 0 + 604 + 32 + 7 + 1 = 666.

It is not a de Polignac number, because 12106043271 - 22 = 12106043267 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106043231) 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, 4544686 + ... + 4547348.

It is an arithmetic number, because the mean of its divisors is an integer number (326073600).

Almost surely, 212106043271 is an apocalyptic number.

12106043271 is a deficient number, since it is larger than the sum of its proper divisors (8762667129).

12106043271 is a wasteful number, since it uses less digits than its factorization.

12106043271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12106043271 in words is "twelve billion, one hundred six million, forty-three thousand, two hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 67 189 201 359 469 603 1077 1407 1809 2513 2663 3231 4221 7539 7989 9693 12663 18641 22617 23967 24053 55923 67851 71901 72159 167769 168371 178421 216477 503307 505113 535263 649431 956017 1248947 1515339 1605789 2868051 3746841 4546017 4817367 6692119 8604153 11240523 20076357 25812459 33721569 60229071 64053139 180687213 192159417 448371973 576478251 1345115919 1729434753 4035347757 12106043271