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13120140432321 = 331390134147267
BaseRepresentation
bin1011111011101100010101…
…0011110101001111000001
31201110021101010220211201000
42332323011103311033001
53204430021422313241
643523150451002213
72522620211414436
oct276730523651701
951407333824630
1013120140432321
1141a924726178a
12157a930599369
137422baca1820
14335037c85b8d
1517b441b2beb6
hexbeec54f53c1

13120140432321 has 32 divisors (see below), whose sum is σ = 20934745301120. Its totient is φ = 8073034817472.

The previous prime is 13120140432317. The next prime is 13120140432341. The reversal of 13120140432321 is 12323404102131.

13120140432321 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 1 + 404 + 3 + 232 + 1 = 666.

It is not a de Polignac number, because 13120140432321 - 22 = 13120140432317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120140432341) 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, 1089930 + ... + 5237196.

It is an arithmetic number, because the mean of its divisors is an integer number (654210790660).

Almost surely, 213120140432321 is an apocalyptic number.

It is an amenable number.

13120140432321 is a deficient number, since it is larger than the sum of its proper divisors (7814604868799).

13120140432321 is a wasteful number, since it uses less digits than its factorization.

13120140432321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156302 (or 4156296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13120140432321 its reverse (12323404102131), we get a palindrome (25443544534452).

The spelling of 13120140432321 in words is "thirteen trillion, one hundred twenty billion, one hundred forty million, four hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 9013 27039 81117 117169 243351 351507 1054521 3163563 4147267 12441801 37325403 53914471 111976209 161743413 485230239 1455690717 37379317471 112137952413 336413857239 485931127123 1009241571717 1457793381369 4373380144107 13120140432321