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130122110112 = 2534331521829
BaseRepresentation
bin111100100101111100…
…0011101010010100000
3110102212102201002012120
41321023320131102200
54112442230010422
6135435520224240
712254355454341
oct1711370352240
9412772632176
10130122110112
11502035a2285
122127576b080
13c36928a037
1464257b40c8
1535b893445c
hex1e4be1d4a0

130122110112 has 48 divisors (see below), whose sum is σ = 349514051040. Its totient is φ = 42365336832.

The previous prime is 130122110101. The next prime is 130122110117. The reversal of 130122110112 is 211011221031.

130122110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 130122110091 and 130122110100.

It is not an unprimeable number, because it can be changed into a prime (130122110117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15756787 + ... + 15765042.

It is an arithmetic number, because the mean of its divisors is an integer number (7281542730).

Almost surely, 2130122110112 is an apocalyptic number.

130122110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130122110112 is an abundant number, since it is smaller than the sum of its proper divisors (219391940928).

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

130122110112 is a wasteful number, since it uses less digits than its factorization.

130122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31521885 (or 31521877 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 130122110112 its reverse (211011221031), we get a palindrome (341133331143).

The spelling of 130122110112 in words is "one hundred thirty billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 31521829 63043658 94565487 126087316 189130974 252174632 378261948 504349264 756523896 1008698528 1355438647 1513047792 2710877294 3026095584 4066315941 5421754588 8132631882 10843509176 16265263764 21687018352 32530527528 43374036704 65061055056 130122110112