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12381720481 = 1319791973221
BaseRepresentation
bin10111000100000001…
…00000111110100001
31011221220101120102001
423202000200332201
5200324210023411
65404343124001
7615554613304
oct134200407641
934856346361
1012381720481
115284181949
122496743601
131224275b30
148565c4b3b
154c7022dc1
hex2e2020fa1

12381720481 has 32 divisors (see below), whose sum is σ = 14290214400. Its totient is φ = 10633109760.

The previous prime is 12381720473. The next prime is 12381720493. The reversal of 12381720481 is 18402718321.

It is not a de Polignac number, because 12381720481 - 23 = 12381720473 is a prime.

It is a super-2 number, since 2×123817204812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12381720481.

It is not an unprimeable number, because it can be changed into a prime (12381720181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3842451 + ... + 3845671.

It is an arithmetic number, because the mean of its divisors is an integer number (446569200).

Almost surely, 212381720481 is an apocalyptic number.

It is an amenable number.

12381720481 is a deficient number, since it is larger than the sum of its proper divisors (1908493919).

12381720481 is a wasteful number, since it uses less digits than its factorization.

12381720481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 12381720481 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty thousand, four hundred eighty-one".

Divisors: 1 13 19 79 197 247 1027 1501 2561 3221 3743 15563 19513 41873 48659 61199 202319 254459 295697 634537 795587 3307967 3844061 4834721 8248981 12056203 50128423 62851373 156730639 651669499 952440037 12381720481