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130113220000 = 255422928409
BaseRepresentation
bin111100100101101011…
…0100010110110100000
3110102211210222102021011
41321023112202312200
54112432441020000
6135435001510304
712254220056551
oct1711326426640
9412753872234
10130113220000
11501a957aa85
12212727a2394
13c36749670a
14642453c328
1535b7c7a2ba
hex1e4b5a2da0

130113220000 has 120 divisors (see below), whose sum is σ = 321507162900. Its totient is φ = 51816192000.

The previous prime is 130113219979. The next prime is 130113220007. The reversal of 130113220000 is 22311031.

It can be written as a sum of positive squares in 10 ways, for example, as 314423824 + 129798796176 = 17732^2 + 360276^2 .

It is not an unprimeable number, because it can be changed into a prime (130113220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4565796 + ... + 4594204.

Almost surely, 2130113220000 is an apocalyptic number.

130113220000 is a gapful number since it is divisible by the number (10) 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 130113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160753581450).

130113220000 is an abundant number, since it is smaller than the sum of its proper divisors (191393942900).

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

130113220000 is an equidigital number, since it uses as much as digits as its factorization.

130113220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28668 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 130113220000 its reverse (22311031), we get a palindrome (130135531031).

The spelling of 130113220000 in words is "one hundred thirty billion, one hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3664 4000 4580 5000 5725 7328 9160 10000 11450 18320 20000 22900 28409 28625 36640 45800 56818 57250 91600 113636 114500 142045 143125 183200 227272 229000 284090 286250 454544 458000 568180 572500 710225 909088 916000 1136360 1145000 1420450 2272720 2290000 2840900 3551125 4545440 4580000 5681800 6505661 7102250 11363600 13011322 14204500 17755625 22727200 26022644 28409000 32528305 35511250 52045288 56818000 65056610 71022500 104090576 113636000 130113220 142045000 162641525 208181152 260226440 284090000 325283050 520452880 568180000 650566100 813207625 1040905760 1301132200 1626415250 2602264400 3252830500 4066038125 5204528800 6505661000 8132076250 13011322000 16264152500 26022644000 32528305000 65056610000 130113220000