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130001333220 = 2232511539912161
BaseRepresentation
bin111100100010010101…
…1101110101111100100
3110102120000102222110100
41321010223232233210
54112220320130340
6135415523424100
712251361046203
oct1710453565744
9412500388410
10130001333220
11501513aa870
1221241225030
13c34a250615
14641373523a
1535ad028830
hex1e44aeebe4

130001333220 has 144 divisors (see below), whose sum is σ = 430301289600. Its totient is φ = 31507046400.

The previous prime is 130001333207. The next prime is 130001333237. The reversal of 130001333220 is 22333100031.

130001333220 is a `hidden beast` number, since 1 + 300 + 0 + 13 + 332 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130001333193 and 130001333202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10683940 + ... + 10696100.

It is an arithmetic number, because the mean of its divisors is an integer number (2988203400).

Almost surely, 2130001333220 is an apocalyptic number.

130001333220 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 130001333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215150644800).

130001333220 is an abundant number, since it is smaller than the sum of its proper divisors (300299956380).

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

130001333220 is a wasteful number, since it uses less digits than its factorization.

130001333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130001333220 its reverse (22333100031), we get a palindrome (152334433251).

The spelling of 130001333220 in words is "one hundred thirty billion, one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5399 10798 12161 16197 21596 24322 26995 32394 36483 48591 48644 53990 59389 60805 64788 72966 80985 97182 107980 109449 118778 121610 133771 145932 161970 178167 182415 194364 218898 237556 242955 243220 267542 296945 323940 356334 364830 401313 437796 485910 534501 535084 547245 593890 668855 712668 729660 802626 890835 971820 1069002 1094490 1187780 1203939 1337710 1605252 1781670 2006565 2138004 2188980 2407878 2672505 2675420 3563340 4013130 4815756 5345010 6019695 8026260 10690020 12039390 24078780 65657239 131314478 196971717 262628956 328286195 393943434 590915151 656572390 722229629 787886868 984858585 1181830302 1313144780 1444459258 1969717170 2166688887 2363660604 2888918516 2954575755 3611148145 3939434340 4333377774 5909151510 6500066661 7222296290 8666755548 10833444435 11818303020 13000133322 14444592580 21666888870 26000266644 32500333305 43333777740 65000666610 130001333220