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130123113312 = 2536125786461
BaseRepresentation
bin111100100101111110…
…0010010001101100000
3110102212111121001100010
41321023330102031200
54112443004111222
6135435553524520
712254400133203
oct1711374221540
9412774531303
10130123113312
1150204117a75
1221275b73740
13c36954b84a
14642599593a
1535b8a8180c
hex1e4bf12360

130123113312 has 96 divisors (see below), whose sum is σ = 348527630304. Its totient is φ = 42496819200.

The previous prime is 130123113257. The next prime is 130123113319. The reversal of 130123113312 is 213311321031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130123113319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461762 + ... + 1548222.

It is an arithmetic number, because the mean of its divisors is an integer number (3630496149).

Almost surely, 2130123113312 is an apocalyptic number.

130123113312 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 130123113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174263815152).

130123113312 is an abundant number, since it is smaller than the sum of its proper divisors (218404516992).

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

130123113312 is a wasteful number, since it uses less digits than its factorization.

130123113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86792 (or 86784 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130123113312 its reverse (213311321031), we get a palindrome (343434434343).

The spelling of 130123113312 in words is "one hundred thirty billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 257 366 488 514 732 771 976 1028 1464 1542 1952 2056 2928 3084 4112 5856 6168 8224 12336 15677 24672 31354 47031 62708 86461 94062 125416 172922 188124 250832 259383 345844 376248 501664 518766 691688 752496 1037532 1383376 1504992 2075064 2766752 4150128 5274121 8300256 10548242 15822363 21096484 22220477 31644726 42192968 44440954 63289452 66661431 84385936 88881908 126578904 133322862 168771872 177763816 253157808 266645724 355527632 506315616 533291448 711055264 1066582896 1355449097 2133165792 2710898194 4066347291 5421796388 8132694582 10843592776 16265389164 21687185552 32530778328 43374371104 65061556656 130123113312