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130434221011020 = 223519131873404453
BaseRepresentation
bin11101101010000100010101…
…011010001111000001001100
3122002211101112010110010201020
4131222010111122033001030
5114044013241034323040
61141224353125114140
736321363406332063
oct3552042532170114
9562741463403636
10130434221011020
113861892a390713
1212767038858950
1357a1b8190c974
14242d09b2111da
151012d6044acd0
hex76a11568f04c

130434221011020 has 96 divisors (see below), whose sum is σ = 387372343438080. Its totient is φ = 32700262682880.

The previous prime is 130434221010991. The next prime is 130434221011063. The reversal of 130434221011020 is 20110122434031.

It is a super-2 number, since 2×1304342210110202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436552887 + ... + 436851566.

It is an arithmetic number, because the mean of its divisors is an integer number (4035128577480).

Almost surely, 2130434221011020 is an apocalyptic number.

130434221011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434221011020 is an abundant number, since it is smaller than the sum of its proper divisors (256938122427060).

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

130434221011020 is a wasteful number, since it uses less digits than its factorization.

130434221011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873404615 (or 873404613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130434221011020 its reverse (20110122434031), we get a palindrome (150544343445051).

The spelling of 130434221011020 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 380 393 524 570 655 786 1140 1310 1572 1965 2489 2620 3930 4978 7467 7860 9956 12445 14934 24890 29868 37335 49780 74670 149340 873404453 1746808906 2620213359 3493617812 4367022265 5240426718 8734044530 10480853436 13101066795 16594684607 17468089060 26202133590 33189369214 49784053821 52404267180 66378738428 82973423035 99568107642 114415983343 165946846070 199136215284 228831966686 248920269105 331893692140 343247950029 457663933372 497840538210 572079916715 686495900058 995681076420 1144159833430 1372991800116 1716239750145 2173903683517 2288319666860 3432479500290 4347807367034 6521711050551 6864959000580 8695614734068 10869518417585 13043422101102 21739036835170 26086844202204 32608555252755 43478073670340 65217110505510 130434221011020