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1002200120220 = 223513432694901
BaseRepresentation
bin11101001010101111100…
…10000011101110011100
310112210212001100010001010
432211113302003232130
5112410001212321340
62044223202415220
7132256311315465
oct16452762035634
93483761303033
101002200120220
11357037927872
12142296961510
137367903cb20
1436714715d6c
151b1099a8b80
hexe957c83b9c

1002200120220 has 144 divisors (see below), whose sum is σ = 3093937191072. Its totient is φ = 240957964800.

The previous prime is 1002200120191. The next prime is 1002200120287. The reversal of 1002200120220 is 220210022001.

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 = 1002200120196 and 1002200120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094770 + ... + 1789670.

It is an arithmetic number, because the mean of its divisors is an integer number (21485674938).

Almost surely, 21002200120220 is an apocalyptic number.

1002200120220 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 1002200120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546968595536).

1002200120220 is an abundant number, since it is smaller than the sum of its proper divisors (2091737070852).

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

1002200120220 is a wasteful number, since it uses less digits than its factorization.

1002200120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695012 (or 694967 counting only the distinct ones).

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

Adding to 1002200120220 its reverse (220210022001), we get a palindrome (1222410142221).

The spelling of 1002200120220 in words is "one trillion, two billion, two hundred million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 1849 2236 2580 2795 3354 3698 5547 5590 6708 7396 8385 9245 11094 11180 16770 18490 22188 24037 27735 33540 36980 48074 55470 72111 96148 110940 120185 144222 240370 288444 360555 480740 694901 721110 1389802 1442220 2084703 2779604 3474505 4169406 6949010 8338812 9033713 10423515 13898020 18067426 20847030 27101139 29880743 36134852 41694060 45168565 54202278 59761486 89642229 90337130 108404556 119522972 135505695 149403715 179284458 180674260 271011390 298807430 358568916 388449659 448211145 542022780 597614860 776899318 896422290 1165348977 1284871949 1553798636 1792844580 1942248295 2330697954 2569743898 3854615847 3884496590 4661395908 5139487796 5826744885 6424359745 7709231694 7768993180 11653489770 12848719490 15418463388 16703335337 19273079235 23306979540 25697438980 33406670674 38546158470 50110006011 66813341348 77092316940 83516676685 100220012022 167033353370 200440024044 250550030055 334066706740 501100060110 1002200120220