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1022020000020 = 223259758534937
BaseRepresentation
bin11101101111101010010…
…00111001100100010100
310121201000022221022211100
432313311020321210110
5113221044110000040
62101302015310100
7133560415443555
oct16676510714424
93551008838740
101022020000020
11364488711918
121460a851b330
13754b7300c56
1437674b1232c
151b8b99e5b30
hexedf5239914

1022020000020 has 72 divisors (see below), whose sum is σ = 3132087462504. Its totient is φ = 269728985088.

The previous prime is 1022020000013. The next prime is 1022020000049. The reversal of 1022020000020 is 200000202201.

It can be written as a sum of positive squares in 4 ways, for example, as 257280243984 + 764739756036 = 507228^2 + 874494^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022019999957 and 1022020000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29250009 + ... + 29284928.

It is an arithmetic number, because the mean of its divisors is an integer number (43501214757).

Almost surely, 21022020000020 is an apocalyptic number.

1022020000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020000020 is an abundant number, since it is smaller than the sum of its proper divisors (2110067462484).

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

1022020000020 is a wasteful number, since it uses less digits than its factorization.

1022020000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58535049 (or 58535044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1022020000020 its reverse (200000202201), we get a palindrome (1222020202221).

The spelling of 1022020000020 in words is "one trillion, twenty-two billion, twenty million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 58534937 117069874 175604811 234139748 292674685 351209622 526814433 585349370 702419244 878024055 1053628866 1170698740 1756048110 2107257732 2634072165 3512096220 5268144330 5677888889 10536288660 11355777778 17033666667 22711555556 28389444445 34067333334 51101000001 56778888890 68134666668 85168333335 102202000002 113557777780 170336666670 204404000004 255505000005 340673333340 511010000010 1022020000020