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1000201002220 = 225779101895387
BaseRepresentation
bin11101000111000001010…
…00000001110011101100
310112121200201122101200201
432203200220001303230
5112341402424032340
62043252550403244
7132155625146230
oct16434050016354
93477621571621
101000201002220
11356201432932
12141a19360524
137341ab14074
14365a500a5c0
151b03e21c79a
hexe8e0a01cec

1000201002220 has 96 divisors (see below), whose sum is σ = 2454939002880. Its totient is φ = 335232518400.

The previous prime is 1000201002217. The next prime is 1000201002221. The reversal of 1000201002220 is 222001020001.

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 = 1000201002197 and 1000201002206.

It is not an unprimeable number, because it can be changed into a prime (1000201002221) 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 31 ways as a sum of consecutive naturals, for example, 669367 + ... + 1564753.

It is an arithmetic number, because the mean of its divisors is an integer number (25572281280).

Almost surely, 21000201002220 is an apocalyptic number.

1000201002220 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 1000201002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227469501440).

1000201002220 is an abundant number, since it is smaller than the sum of its proper divisors (1454738000660).

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

1000201002220 is a wasteful number, since it uses less digits than its factorization.

1000201002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895583 (or 895581 counting only the distinct ones).

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

Adding to 1000201002220 its reverse (222001020001), we get a palindrome (1222202022221).

The spelling of 1000201002220 in words is "one trillion, two hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 101 140 158 202 316 395 404 505 553 707 790 1010 1106 1414 1580 2020 2212 2765 2828 3535 5530 7070 7979 11060 14140 15958 31916 39895 55853 79790 111706 159580 223412 279265 558530 895387 1117060 1790774 3581548 4476935 6267709 8953870 12535418 17907740 25070836 31338545 62677090 70735573 90434087 125354180 141471146 180868174 282942292 353677865 361736348 452170435 495149011 633038609 707355730 904340870 990298022 1266077218 1414711460 1808681740 1980596044 2475745055 2532154436 3165193045 4951490110 6330386090 7144292873 9902980220 12660772180 14288585746 28577171492 35721464365 50010050111 71442928730 100020100222 142885857460 200040200444 250050250555 500100501110 1000201002220