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130121113344 = 283829204377
BaseRepresentation
bin111100100101111010…
…0101001111100000000
3110102212100211102220020
41321023310221330000
54112442001111334
6135435443013440
712254344133325
oct1711364517400
9412770742806
10130121113344
1150202a81402
122127536a280
13c368ccb431
1464255d4b4c
1535b87d8e49
hex1e4bd29f00

130121113344 has 72 divisors (see below), whose sum is σ = 346731364560. Its totient is φ = 43321171968.

The previous prime is 130121113321. The next prime is 130121113361. The reversal of 130121113344 is 443311121031.

It is a happy number.

130121113344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 534484 + ... + 738860.

Almost surely, 2130121113344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130121113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365682280).

130121113344 is an abundant number, since it is smaller than the sum of its proper divisors (216610251216).

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

130121113344 is an equidigital number, since it uses as much as digits as its factorization.

130121113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205225 (or 205211 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130121113344 its reverse (443311121031), we get a palindrome (573432234375).

The spelling of 130121113344 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 53056 79584 106112 159168 204377 212224 318336 408754 613131 636672 817508 1226262 1635016 2452524 3270032 4905048 6540064 9810096 13080128 19620192 26160256 39240384 52320512 78480768 156961536 169428533 338857066 508285599 677714132 1016571198 1355428264 2033142396 2710856528 4066284792 5421713056 8132569584 10843426112 16265139168 21686852224 32530278336 43373704448 65060556672 130121113344