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1020001020220 = 2257135557100853
BaseRepresentation
bin11101101011111001100…
…11000110100100111100
310121111210121212112012201
432311330303012210330
5113202430230121340
62100325413441244
7133456401422230
oct16657463064474
93544717775181
101020001020220
11363641a91476
12145824340224
1375254c3c950
14375229165c0
151b7ec63479a
hexed7ccc693c

1020001020220 has 96 divisors (see below), whose sum is σ = 2636810886528. Its totient is φ = 322752218112.

The previous prime is 1020001020209. The next prime is 1020001020223. The reversal of 1020001020220 is 220201000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020001020197 and 1020001020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001020223) by changing a digit.

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, 10063314 + ... + 10164166.

It is an arithmetic number, because the mean of its divisors is an integer number (27466780068).

Almost surely, 21020001020220 is an apocalyptic number.

1020001020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020001020220 is an abundant number, since it is smaller than the sum of its proper divisors (1616809866308).

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

1020001020220 is a wasteful number, since it uses less digits than its factorization.

1020001020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106439 (or 106437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020001020220 its reverse (220201000201), we get a palindrome (1240202020421).

The spelling of 1020001020220 in words is "one trillion, twenty billion, one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 5557 11114 22228 27785 38899 55570 72241 77798 100853 111140 144482 155596 194495 201706 288964 361205 388990 403412 504265 505687 705971 722410 777980 1008530 1011374 1311089 1411942 1444820 2017060 2022748 2528435 2622178 2823884 3529855 5056870 5244356 6555445 7059710 9177623 10113740 13110890 14119420 18355246 26221780 36710492 45888115 91776230 183552460 560440121 1120880242 2241760484 2802200605 3923080847 5604401210 7285721573 7846161694 11208802420 14571443146 15692323388 19615404235 29142886292 36428607865 39230808470 51000051011 72857215730 78461616940 102000102022 145714431460 204000204044 255000255055 510000510110 1020001020220