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130001122020 = 223571128138771
BaseRepresentation
bin111100100010010101…
…0111011001011100100
3110102120000001020202010
41321010222323023210
54112220241401040
6135415515114220
712251356206360
oct1710452731344
9412500036663
10130001122020
1150151276120
1221241142970
13c34a1a8453
1464136bc2a0
1535aced5e80
hex1e44abb2e4

130001122020 has 96 divisors (see below), whose sum is σ = 453822114816. Its totient is φ = 27013219200.

The previous prime is 130001121967. The next prime is 130001122037. The reversal of 130001122020 is 20221100031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130001121987 and 130001122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14064766 + ... + 14074005.

It is an arithmetic number, because the mean of its divisors is an integer number (4727313696).

Almost surely, 2130001122020 is an apocalyptic number.

130001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130001122020 is an abundant number, since it is smaller than the sum of its proper divisors (323820992796).

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

130001122020 is a wasteful number, since it uses less digits than its factorization.

130001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28138801 (or 28138799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130001122020 its reverse (20221100031), we get a palindrome (150222222051).

The spelling of 130001122020 in words is "one hundred thirty billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 28138771 56277542 84416313 112555084 140693855 168832626 196971397 281387710 309526481 337665252 393942794 422081565 562775420 590914191 619052962 787885588 844163130 928579443 984856985 1181828382 1238105924 1547632405 1688326260 1857158886 1969713970 2166685367 2363656764 2954570955 3095264810 3714317772 3939427940 4333370734 4642897215 5909141910 6190529620 6500056101 8666741468 9285794430 10833426835 11818283820 13000112202 18571588860 21666853670 26000224404 32500280505 43333707340 65000561010 130001122020