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130111321000 = 2353241539881
BaseRepresentation
bin111100100101100111…
…1010011001110101000
3110102211200101221022211
41321023033103032220
54112431444233000
6135434453054504
712254164660243
oct1711317231650
9412750357284
10130111321000
11501a84a3261
1221272027434
13c366c8024b
1464241a625a
1535b7a027ba
hex1e4b3d33a8

130111321000 has 64 divisors (see below), whose sum is σ = 305724378960. Its totient is φ = 51828480000.

The previous prime is 130111320979. The next prime is 130111321009. The reversal of 130111321000 is 123111031.

It can be written as a sum of positive squares in 8 ways, for example, as 27548696484 + 102562624516 = 165978^2 + 320254^2 .

It is not an unprimeable number, because it can be changed into a prime (130111321009) 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, 28941 + ... + 510940.

Almost surely, 2130111321000 is an apocalyptic number.

130111321000 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 130111321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152862189480).

130111321000 is an abundant number, since it is smaller than the sum of its proper divisors (175613057960).

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

130111321000 is a wasteful number, since it uses less digits than its factorization.

130111321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540143 (or 540129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 130111321000 its reverse (123111031), we get a palindrome (130234432031).

The spelling of 130111321000 in words is "one hundred thirty billion, one hundred eleven million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 964 1000 1205 1928 2410 4820 6025 9640 12050 24100 30125 48200 60250 120500 241000 539881 1079762 2159524 2699405 4319048 5398810 10797620 13497025 21595240 26994050 53988100 67485125 107976200 130111321 134970250 260222642 269940500 520445284 539881000 650556605 1040890568 1301113210 2602226420 3252783025 5204452840 6505566050 13011132100 16263915125 26022264200 32527830250 65055660500 130111321000