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2211133321001 = 117128364115607
BaseRepresentation
bin100000001011010001110…
…100001110111100101001
321211101022200102211201202
4200023101310032330221
5242211400112233001
64411440340453545
7315514642056623
oct40132164167451
97741280384652
102211133321001
1178281112a920
122b86480aa2b5
131306802ba147
147903b427c13
153c7b3a7896b
hex202d1d0ef29

2211133321001 has 32 divisors (see below), whose sum is σ = 2458749966336. Its totient is φ = 1971599616000.

The previous prime is 2211133320989. The next prime is 2211133321037. The reversal of 2211133321001 is 1001233311122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2211133321001 - 222 = 2211129126697 is a prime.

It is a super-2 number, since 2×22111333210012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2211133327001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141667940 + ... + 141683546.

It is an arithmetic number, because the mean of its divisors is an integer number (76835936448).

Almost surely, 22211133321001 is an apocalyptic number.

It is an amenable number.

2211133321001 is a deficient number, since it is larger than the sum of its proper divisors (247616645335).

2211133321001 is a wasteful number, since it uses less digits than its factorization.

2211133321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2211133321001 its reverse (1001233311122), we get a palindrome (3212366632123).

The spelling of 2211133321001 in words is "two trillion, two hundred eleven billion, one hundred thirty-three million, three hundred twenty-one thousand, one".

Divisors: 1 11 71 283 641 781 3113 7051 15607 20093 45511 171677 181403 221023 500621 1108097 1995433 4416781 10004087 12189067 12879613 48584591 110044957 141675743 313591451 710290177 2831156621 3449505961 7813191947 31142722831 201012120091 2211133321001