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12106106351 = 174383919739
BaseRepresentation
bin10110100011001010…
…01000010111101111
31011020200202220220022
423101211020113233
5144243130400401
65321135512355
7606000130463
oct132145102757
934220686808
1012106106351
115152643979
12241a3886bb
1311ac135851
1482bb5c4a3
154acc2e71b
hex2d19485ef

12106106351 has 16 divisors (see below), whose sum is σ = 13132627200. Its totient is φ = 11115178368.

The previous prime is 12106106303. The next prime is 12106106359. The reversal of 12106106351 is 15360160121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12106106351 is a prime.

It is a super-3 number, since 3×121061063513 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12106106351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106106359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603440 + ... + 623178.

It is an arithmetic number, because the mean of its divisors is an integer number (820789200).

Almost surely, 212106106351 is an apocalyptic number.

12106106351 is a deficient number, since it is larger than the sum of its proper divisors (1026520849).

12106106351 is a wasteful number, since it uses less digits than its factorization.

12106106351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20638.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 12106106351 its reverse (15360160121), we get a palindrome (27466266472).

The spelling of 12106106351 in words is "twelve billion, one hundred six million, one hundred six thousand, three hundred fifty-one".

Divisors: 1 17 43 731 839 14263 19739 36077 335563 613309 848777 14429209 16561021 281537357 712123903 12106106351