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13130022140032 = 277111491131437
BaseRepresentation
bin1011111100010001001001…
…0011100011100010000000
31201111012212211002121022111
42333010102103203202000
53210110241131440112
643531503210145104
72523420121510060
oct277042223434200
951435784077274
1013130022140032
114202458220a76
121580829a22194
13743204312455
143356d44153a0
1517b81e4205a7
hexbf1124e3880

13130022140032 has 64 divisors (see below), whose sum is σ = 29894742411840. Its totient is φ = 5627059061760.

The previous prime is 13130022140009. The next prime is 13130022140077. The reversal of 13130022140032 is 23004122003131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×131300221400322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13130022139985 and 13130022140012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99830218 + ... + 99961654.

It is an arithmetic number, because the mean of its divisors is an integer number (467105350185).

Almost surely, 213130022140032 is an apocalyptic number.

It is an amenable number.

13130022140032 is an abundant number, since it is smaller than the sum of its proper divisors (16764720271808).

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

13130022140032 is a wasteful number, since it uses less digits than its factorization.

13130022140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242949 (or 242937 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13130022140032 its reverse (23004122003131), we get a palindrome (36134144143163).

The spelling of 13130022140032 in words is "thirteen trillion, one hundred thirty billion, twenty-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 111491 131437 222982 262874 445964 525748 780437 891928 920059 1051496 1560874 1783856 1840118 2102992 3121748 3567712 3680236 4205984 6243496 7135424 7360472 8411968 12486992 14270848 14720944 16823936 24973984 29441888 49947968 58883776 99895936 117767552 14654042567 29308085134 58616170268 102578297969 117232340536 205156595938 234464681072 410313191876 468929362144 820626383752 937858724288 1641252767504 1875717448576 3282505535008 6565011070016 13130022140032