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1000220201001 = 327431549238361
BaseRepresentation
bin11101000111000011100…
…01010001000000101001
310112121202001202210110200
432203201301101000221
5112341422332413001
62043254514102413
7132156250300320
oct16434161210051
93477661683420
101000220201001
1135621125619a
12141a2387aa09
1373421aa68a8
14365a77a70b7
151b040c61086
hexe8e1c51029

1000220201001 has 48 divisors (see below), whose sum is σ = 1690653993600. Its totient is φ = 557899695360.

The previous prime is 1000220200979. The next prime is 1000220201033. The reversal of 1000220201001 is 1001020220001.

It is not a de Polignac number, because 1000220201001 - 213 = 1000220192809 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1000220281001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4077061 + ... + 4315421.

It is an arithmetic number, because the mean of its divisors is an integer number (35221958200).

Almost surely, 21000220201001 is an apocalyptic number.

It is an amenable number.

1000220201001 is a deficient number, since it is larger than the sum of its proper divisors (690433792599).

1000220201001 is a wasteful number, since it uses less digits than its factorization.

1000220201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239966 (or 239963 counting only the distinct ones).

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

Adding to 1000220201001 its reverse (1001020220001), we get a palindrome (2001240421002).

The spelling of 1000220201001 in words is "one trillion, two hundred twenty million, two hundred one thousand, one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 1549 2709 4647 10843 13941 32529 66607 97587 199821 238361 466249 599463 715083 1398747 1668527 2145249 4196241 5005581 10249523 15016743 30748569 71746661 92245707 215239983 369221189 645719949 1107663567 2584548323 3322990701 7753644969 15876511127 23260934907 47629533381 111135577889 142888600143 333406733667 1000220201001