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130110103000 = 23532312744543
BaseRepresentation
bin111100100101100101…
…0101001110111011000
3110102211121010001112201
41321023022221313120
54112431141244000
6135434411015544
712254151425233
oct1711312516730
9412747101481
10130110103000
11501a7841149
122127173a5b4
13c366944a37
146423d6a41a
1535b786196a
hex1e4b2a9dd8

130110103000 has 128 divisors (see below), whose sum is σ = 320203653120. Its totient is φ = 49388169600.

The previous prime is 130110102979. The next prime is 130110103009. The reversal of 130110103000 is 301011031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130110103009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898729 + ... + 2943271.

It is an arithmetic number, because the mean of its divisors is an integer number (2501591040).

Almost surely, 2130110103000 is an apocalyptic number.

130110103000 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 130110103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160101826560).

130110103000 is an abundant number, since it is smaller than the sum of its proper divisors (190093550120).

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

130110103000 is a wasteful number, since it uses less digits than its factorization.

130110103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44714 (or 44700 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 130110103000 its reverse (301011031), we get a palindrome (130411114031).

The spelling of 130110103000 in words is "one hundred thirty billion, one hundred ten million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 127 184 200 230 250 254 460 500 508 575 635 920 1000 1016 1150 1270 2300 2540 2875 2921 3175 4600 5080 5750 5842 6350 11500 11684 12700 14605 15875 23000 23368 25400 29210 31750 44543 58420 63500 73025 89086 116840 127000 146050 178172 222715 292100 356344 365125 445430 584200 730250 890860 1024489 1113575 1460500 1781720 2048978 2227150 2921000 4097956 4454300 5122445 5567875 5656961 8195912 8908600 10244890 11135750 11313922 20489780 22271500 22627844 25612225 28284805 40979560 44543000 45255688 51224450 56569610 102448900 113139220 128061125 130110103 141424025 204897800 226278440 256122250 260220206 282848050 512244500 520440412 565696100 650550515 707120125 1024489000 1040880824 1131392200 1301101030 1414240250 2602202060 2828480500 3252752575 5204404120 5656961000 6505505150 13011010300 16263762875 26022020600 32527525750 65055051500 130110103000