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1000200020220 = 2232573450716889
BaseRepresentation
bin11101000111000001001…
…00010010000011111100
310112121200122210111122100
432203200210102003330
5112341402201121340
62043252513345100
7132155613616242
oct16434044220374
93477618714570
101000200020220
11356200922065
12141a18b68190
137341a85c0bb
14365a4c32792
151b03e0c6830
hexe8e09120fc

1000200020220 has 144 divisors (see below), whose sum is σ = 3076365408480. Its totient is φ = 262992365568.

The previous prime is 1000200020207. The next prime is 1000200020227. The reversal of 1000200020220 is 220200020001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59213536 + ... + 59230424.

It is an arithmetic number, because the mean of its divisors is an integer number (21363648670).

Almost surely, 21000200020220 is an apocalyptic number.

1000200020220 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 1000200020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538182704240).

1000200020220 is an abundant number, since it is smaller than the sum of its proper divisors (2076165388260).

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

1000200020220 is a wasteful number, since it uses less digits than its factorization.

1000200020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21484 (or 21479 counting only the distinct ones).

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

Adding to 1000200020220 its reverse (220200020001), we get a palindrome (1220400040221).

The spelling of 1000200020220 in words is "one trillion, two hundred million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 4507 6570 9014 13140 13521 16889 18028 22535 27042 33778 40563 45070 50667 54084 67556 67605 81126 84445 90140 101334 135210 152001 162252 168890 202668 202815 253335 270420 304002 329011 337780 405630 506670 608004 658022 760005 811260 987033 1013340 1232897 1316044 1520010 1645055 1974066 2465794 2961099 3040020 3290110 3698691 3948132 4931588 4935165 5922198 6164485 6580220 7397382 9870330 11096073 11844396 12328970 14794764 14805495 18493455 19740660 22192146 24657940 29610990 36986910 44384292 55480365 59221980 73973820 76118723 110960730 152237446 221921460 228356169 304474892 380593615 456712338 685068507 761187230 913424676 1141780845 1370137014 1522374460 2283561690 2740274028 3425342535 4567123380 5556666779 6850685070 11113333558 13701370140 16670000337 22226667116 27783333895 33340000674 50010001011 55566667790 66680001348 83350001685 100020002022 111133335580 166700003370 200040004044 250050005055 333400006740 500100010110 1000200020220