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1012020002220 = 2235151349320063
BaseRepresentation
bin11101011101000010001…
…01111011110110101100
310120202012102011210201110
432232201011323312230
5113040104110032340
62052525432512020
7133054541041203
oct16564105736654
93522172153643
101012020002220
113602169a9527
1214417754b610
13745826147a6
1436da699023a
151b4d1b38680
hexeba117bdac

1012020002220 has 96 divisors (see below), whose sum is σ = 2860604006400. Its totient is φ = 267315782400.

The previous prime is 1012020002129. The next prime is 1012020002237. The reversal of 1012020002220 is 222000202101.

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 = 1012020002196 and 1012020002205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001909 + ... + 3321971.

It is an arithmetic number, because the mean of its divisors is an integer number (29797958400).

Almost surely, 21012020002220 is an apocalyptic number.

1012020002220 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 1012020002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430302003200).

1012020002220 is an abundant number, since it is smaller than the sum of its proper divisors (1848584004180).

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

1012020002220 is a wasteful number, since it uses less digits than its factorization.

1012020002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320575 (or 320573 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012020002220 its reverse (222000202101), we get a palindrome (1234020204321).

The spelling of 1012020002220 in words is "one trillion, twelve billion, twenty million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 349 453 604 698 755 906 1047 1396 1510 1745 1812 2094 2265 3020 3490 4188 4530 5235 6980 9060 10470 20940 52699 105398 158097 210796 263495 316194 320063 526990 632388 640126 790485 960189 1053980 1280252 1580970 1600315 1920378 3161940 3200630 3840756 4800945 6401260 9601890 19203780 48329513 96659026 111701987 144988539 193318052 223403974 241647565 289977078 335105961 446807948 483295130 558509935 579954156 670211922 724942695 966590260 1117019870 1340423844 1449885390 1675529805 2234039740 2899770780 3351059610 6702119220 16867000037 33734000074 50601000111 67468000148 84335000185 101202000222 168670000370 202404000444 253005000555 337340000740 506010001110 1012020002220