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130981187136 = 2636183134741
BaseRepresentation
bin111100111111100010…
…1100100111001000000
3110112002022012201100010
41321333011210321000
54121222140442021
6140101045224520
712314556502152
oct1717705447100
9415068181303
10130981187136
1150604513598
1221475402140
13c475255a37
1464a791aad2
15361907a976
hex1e7f164e40

130981187136 has 112 divisors (see below), whose sum is σ = 356482058688. Its totient is φ = 42426931200.

The previous prime is 130981187119. The next prime is 130981187153. The reversal of 130981187136 is 631781189031.

It is an interprime number because it is at equal distance from previous prime (130981187119) and next prime (130981187153).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 904726 + ... + 1039466.

It is an arithmetic number, because the mean of its divisors is an integer number (3182875524).

Almost surely, 2130981187136 is an apocalyptic number.

130981187136 is a gapful number since it is divisible by the number (16) 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 130981187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178241029344).

130981187136 is an abundant number, since it is smaller than the sum of its proper divisors (225500871552).

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

130981187136 is a wasteful number, since it uses less digits than its factorization.

130981187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134900 (or 134890 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 130981187136 in words is "one hundred thirty billion, nine hundred eighty-one million, one hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 83 96 122 166 183 192 244 249 332 366 488 498 664 732 976 996 1328 1464 1952 1992 2656 2928 3904 3984 5063 5312 5856 7968 10126 11712 15189 15936 20252 30378 40504 60756 81008 121512 134741 162016 243024 269482 324032 404223 486048 538964 808446 972096 1077928 1616892 2155856 3233784 4311712 6467568 8219201 8623424 11183503 12935136 16438402 22367006 24657603 25870272 32876804 33550509 44734012 49315206 65753608 67101018 89468024 98630412 131507216 134202036 178936048 197260824 263014432 268404072 357872096 394521648 526028864 536808144 682193683 715744192 789043296 1073616288 1364387366 1578086592 2046581049 2147232576 2728774732 4093162098 5457549464 8186324196 10915098928 16372648392 21830197856 32745296784 43660395712 65490593568 130981187136