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222000101001 = 3371571747679
BaseRepresentation
bin1100111011000000111…
…1001011011010001001
3210020000120100121112000
43032300033023122021
512114124011213001
6245552504341213
722016240503110
oct3166017133211
9706016317460
10222000101001
11861712a6758
1237037474809
1317c1c1a8113
14aa5dc8ac77
155b94ac2a86
hex33b03cb689

222000101001 has 32 divisors (see below), whose sum is σ = 376112947200. Its totient is φ = 126776281680.

The previous prime is 222000100999. The next prime is 222000101009. The reversal of 222000101001 is 100101000222.

222000101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222000101001 - 21 = 222000100999 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 (222000101009) 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, 76921 + ... + 670758.

It is an arithmetic number, because the mean of its divisors is an integer number (11753529600).

Almost surely, 2222000101001 is an apocalyptic number.

222000101001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222000101001 is a deficient number, since it is larger than the sum of its proper divisors (154112846199).

222000101001 is a wasteful number, since it uses less digits than its factorization.

222000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749266 (or 749260 counting only the distinct ones).

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

Adding to 222000101001 its reverse (100101000222), we get a palindrome (322101101223).

The spelling of 222000101001 in words is "two hundred twenty-two billion, one hundred one thousand, one".

Divisors: 1 3 7 9 21 27 63 189 1571 4713 10997 14139 32991 42417 98973 296919 747679 2243037 5233753 6729111 15701259 20187333 47103777 141311331 1174603709 3523811127 8222225963 10571433381 24666677889 31714300143 74000033667 222000101001