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13123443410253 = 331149438939243
BaseRepresentation
bin1011111011111000101000…
…1011101100010101001101
31201110120220100001111122000
42332332022023230111031
53210003303003112003
643524454321142513
72523065106311631
oct276761213542515
951416810044560
1013123443410253
1141aa69174aa10
12157b4b278aa39
137426c6387437
1433526c7d8dc1
1517b586abc1a3
hexbef8a2ec54d

13123443410253 has 32 divisors (see below), whose sum is σ = 21213898721280. Its totient is φ = 7951992113520.

The previous prime is 13123443410249. The next prime is 13123443410263. The reversal of 13123443410253 is 35201434432131.

13123443410253 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 44 + 341 + 0 + 253 = 666.

It is not a de Polignac number, because 13123443410253 - 22 = 13123443410249 is a prime.

It is a super-2 number, since 2×131234434102532 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123443410213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001551 + ... + 5937692.

It is an arithmetic number, because the mean of its divisors is an integer number (662934335040).

Almost surely, 213123443410253 is an apocalyptic number.

It is an amenable number.

13123443410253 is a deficient number, since it is larger than the sum of its proper divisors (8090455311027).

13123443410253 is a wasteful number, since it uses less digits than its factorization.

13123443410253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944206 (or 8944200 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13123443410253 its reverse (35201434432131), we get a palindrome (48324877842384).

The spelling of 13123443410253 in words is "thirteen trillion, one hundred twenty-three billion, four hundred forty-three million, four hundred ten thousand, two hundred fifty-three".

Divisors: 1 3 9 11 27 33 99 297 4943 14829 44487 54373 133461 163119 489357 1468071 8939243 26817729 80453187 98331673 241359561 294995019 884985057 2654955171 44186678149 132560034447 397680103341 486053459639 1193040310023 1458160378917 4374481136751 13123443410253