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12111032025 = 3252415572357
BaseRepresentation
bin10110100011101111…
…11010111011011001
31011021001001011122200
423101313322323121
5144300411011100
65321433240413
7606060034161
oct132167727331
934231034580
1012111032025
1151553a8684
12241bb63109
1311b016b851
1482c6815a1
154ad3a3e00
hex2d1dfaed9

12111032025 has 72 divisors (see below), whose sum is σ = 22270621464. Its totient is φ = 6287692800.

The previous prime is 12111031991. The next prime is 12111032069. The reversal of 12111032025 is 52023011121.

It can be written as a sum of positive squares in 12 ways, for example, as 10768835529 + 1342196496 = 103773^2 + 36636^2 .

It is not a de Polignac number, because 12111032025 - 216 = 12110966489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111031989 and 12111032007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5137147 + ... + 5139503.

It is an arithmetic number, because the mean of its divisors is an integer number (309314187).

Almost surely, 212111032025 is an apocalyptic number.

12111032025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12111032025 is a deficient number, since it is larger than the sum of its proper divisors (10159589439).

12111032025 is a wasteful number, since it uses less digits than its factorization.

12111032025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12111032025 its reverse (52023011121), we get a palindrome (64134043146).

The spelling of 12111032025 in words is "twelve billion, one hundred eleven million, thirty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 557 615 1025 1671 1845 2357 2785 3075 5013 7071 8355 9225 11785 13925 21213 22837 25065 35355 41775 58925 68511 96637 106065 114185 125325 176775 205533 289911 342555 483185 530325 570925 869733 1027665 1312849 1449555 1712775 2415925 3938547 4348665 5138325 6564245 7247775 11815641 19692735 21743325 32821225 53826809 59078205 98463675 161480427 269134045 295391025 484441281 807402135 1345670225 2422206405 4037010675 12111032025