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12123333101 = 11291013171187
BaseRepresentation
bin10110100101001101…
…10110000111101101
31011021220012010120002
423102212312013231
5144312033124401
65322553034045
7606266426315
oct132246660755
934256163502
1012123333101
11516133a660
1224240b5925
1311b28878a9
14830164445
154ae4d3a6b
hex2d29b61ed

12123333101 has 32 divisors (see below), whose sum is σ = 13872228480. Its totient is φ = 10493728000.

The previous prime is 12123333083. The next prime is 12123333107. The reversal of 12123333101 is 10133332121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123333101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123333107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10212830 + ... + 10214016.

It is an arithmetic number, because the mean of its divisors is an integer number (433507140).

Almost surely, 212123333101 is an apocalyptic number.

12123333101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123333101 is a deficient number, since it is larger than the sum of its proper divisors (1748895379).

12123333101 is a wasteful number, since it uses less digits than its factorization.

12123333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12123333101 its reverse (10133332121), we get a palindrome (22256665222).

The spelling of 12123333101 in words is "twelve billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred one".

Divisors: 1 11 29 101 317 319 1111 1187 2929 3487 9193 13057 32017 32219 34423 101123 119887 352187 376279 378653 928493 1318757 3476723 4139069 10213423 10912091 38004179 38243953 120033001 418045969 1102121191 12123333101