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12100012191 = 3217173457139
BaseRepresentation
bin10110100010011011…
…11000100010011111
31011020021022022021200
423101031320202133
5144240100342231
65320401130543
7605564256321
oct132115704237
934207268250
1012100012191
11514a161283
122418329a53
1311aaab0a37
1482b013611
154ac428be6
hex2d137889f

12100012191 has 24 divisors (see below), whose sum is σ = 18612912240. Its totient is φ = 7548262656.

The previous prime is 12100012147. The next prime is 12100012207. The reversal of 12100012191 is 19121000121.

It is a happy number.

It is not a de Polignac number, because 12100012191 - 219 = 12099487903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100012091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202101 + ... + 255038.

It is an arithmetic number, because the mean of its divisors is an integer number (775538010).

Almost surely, 212100012191 is an apocalyptic number.

12100012191 is a deficient number, since it is larger than the sum of its proper divisors (6512900049).

12100012191 is a wasteful number, since it uses less digits than its factorization.

12100012191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457335 (or 457332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 121000121 and 91, that multiplied together give a palindrome (11011011011).

The spelling of 12100012191 in words is "twelve billion, one hundred million, twelve thousand, one hundred ninety-one".

Divisors: 1 3 9 17 51 153 173 519 1557 2941 8823 26469 457139 1371417 4114251 7771363 23314089 69942267 79085047 237255141 711765423 1344445799 4033337397 12100012191