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14122100652 = 22311293799707
BaseRepresentation
bin11010010011011111…
…00010011110101100
31100110012020001011220
431021233202132230
5212410224210102
610253153343340
71006646606052
oct151157423654
940405201156
1014122100652
115a97615270
1228a1567b50
1314409bcc9a
1497d7bc1d2
15579c011bc
hex349be27ac

14122100652 has 96 divisors (see below), whose sum is σ = 38192152320. Its totient is φ = 4020145920.

The previous prime is 14122100621. The next prime is 14122100693. The reversal of 14122100652 is 25600122141.

It is an unprimeable number.

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, 91783 + ... + 191489.

It is an arithmetic number, because the mean of its divisors is an integer number (397834920).

Almost surely, 214122100652 is an apocalyptic number.

14122100652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122100652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096076160).

14122100652 is an abundant number, since it is smaller than the sum of its proper divisors (24070051668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14122100652 is a wasteful number, since it uses less digits than its factorization.

14122100652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99791 (or 99789 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14122100652 its reverse (25600122141), we get a palindrome (39722222793).

The spelling of 14122100652 in words is "fourteen billion, one hundred twenty-two million, one hundred thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 132 148 174 222 319 348 407 444 638 814 957 1073 1221 1276 1628 1914 2146 2442 3219 3828 4292 4884 6438 11803 12876 23606 35409 47212 70818 99707 141636 199414 299121 398828 598242 1096777 1196484 2193554 2891503 3290331 3689159 4387108 5783006 6580662 7378318 8674509 11067477 11566012 13161324 14756636 17349018 22134954 31806533 34698036 40580749 44269908 63613066 81161498 95419599 106985611 121742247 127226132 162322996 190839198 213971222 243484494 320956833 381678396 427942444 486968988 641913666 1176841721 1283827332 2353683442 3530525163 4707366884 7061050326 14122100652