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1001220200010 = 23455328182997
BaseRepresentation
bin11101001000111010101…
…11111101011001001010
310112201022202110000020000
432210131113331121022
5112400444332400020
62043542035343430
7132223112165322
oct16443527753112
93481282400200
101001220200010
11356684779258
12142062751b76
1373551013494
1436660514282
151b09d942090
hexe91d5fd64a

1001220200010 has 160 divisors (see below), whose sum is σ = 2752760138832. Its totient is φ = 261019100160.

The previous prime is 1001220199999. The next prime is 1001220200021. The reversal of 1001220200010 is 100020221001.

It is an interprime number because it is at equal distance from previous prime (1001220199999) and next prime (1001220200021).

It can be written as a sum of positive squares in 8 ways, for example, as 706472189361 + 294748010649 = 840519^2 + 542907^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001220199965 and 1001220200001.

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 79 ways as a sum of consecutive naturals, for example, 12021832 + ... + 12104828.

Almost surely, 21001220200010 is an apocalyptic number.

1001220200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001220200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376380069416).

1001220200010 is an abundant number, since it is smaller than the sum of its proper divisors (1751539938822).

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

1001220200010 is a wasteful number, since it uses less digits than its factorization.

1001220200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83350 (or 83341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001220200010 its reverse (100020221001), we get a palindrome (1101240421011).

The spelling of 1001220200010 in words is "one trillion, one billion, two hundred twenty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 281 318 405 477 530 562 795 810 843 954 1405 1431 1590 1686 2385 2529 2810 2862 4215 4293 4770 5058 7155 7587 8430 8586 12645 14310 14893 15174 21465 22761 25290 29786 37935 42930 44679 45522 74465 75870 82997 89358 113805 134037 148930 165994 223395 227610 248991 268074 402111 414985 446790 497982 670185 746973 804222 829970 1206333 1244955 1340370 1493946 2010555 2240919 2412666 2489910 3734865 4021110 4398841 4481838 6031665 6722757 7469730 8797682 11204595 12063330 13196523 13445514 21994205 22409190 23322157 26393046 33613785 39589569 43988410 46644314 65982615 67227570 69966471 79179138 116610785 118768707 131965230 139932942 197947845 209899413 233221570 237537414 349832355 356306121 395895690 419798826 593843535 629698239 699664710 712612242 1049497065 1187687070 1236074321 1259396478 1781530605 1889094717 2098994130 2472148642 3148491195 3563061210 3708222963 3778189434 6180371605 6296982390 7416445926 9445473585 11124668889 12360743210 18541114815 18890947170 22249337778 33374006667 37082229630 55623344445 66748013334 100122020001 111246688890 166870033335 200244040002 333740066670 500610100005 1001220200010