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130100332120 = 23511599493627
BaseRepresentation
bin111100100101010010…
…1011000011001011000
3110102210220201122102021
41321022211120121120
54112421141111440
6135433421344224
712254002401553
oct1711245303130
9412726648367
10130100332120
11501a2278140
122126a408074
13c364903555
14642294569a
1535b6a8184a
hex1e4a958658

130100332120 has 64 divisors (see below), whose sum is σ = 319870944000. Its totient is φ = 47230135680.

The previous prime is 130100332097. The next prime is 130100332133. The reversal of 130100332120 is 21233001031.

It is a junction number, because it is equal to n+sod(n) for n = 130100332094 and 130100332103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16747 + ... + 510373.

It is an arithmetic number, because the mean of its divisors is an integer number (4997983500).

Almost surely, 2130100332120 is an apocalyptic number.

130100332120 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 130100332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159935472000).

130100332120 is an abundant number, since it is smaller than the sum of its proper divisors (189770611880).

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

130100332120 is a wasteful number, since it uses less digits than its factorization.

130100332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494248 (or 494244 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 130100332120 its reverse (21233001031), we get a palindrome (151333333151).

The spelling of 130100332120 in words is "one hundred thirty billion, one hundred million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 599 1198 2396 2995 4792 5990 6589 11980 13178 23960 26356 32945 52712 65890 131780 263560 493627 987254 1974508 2468135 3949016 4936270 5429897 9872540 10859794 19745080 21719588 27149485 43439176 54298970 108597940 217195880 295682573 591365146 1182730292 1478412865 2365460584 2956825730 3252508303 5913651460 6505016606 11827302920 13010033212 16262541515 26020066424 32525083030 65050166060 130100332120