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222100100001 = 32132382999559
BaseRepresentation
bin1100111011011000110…
…0101001001110100001
3210020021112112002100200
43032312030221032201
512114330111200001
6250010435535413
722021563462303
oct3166614511641
9706245462320
10222100100001
118621279745a
1237064a5a569
1317c36b1b320
14aa6d27b973
155b9d777086
hex33b63293a1

222100100001 has 48 divisors (see below), whose sum is σ = 360948806400. Its totient is φ = 130575494016.

The previous prime is 222100099957. The next prime is 222100100003. The reversal of 222100100001 is 100001001222.

222100100001 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 222100100001 - 27 = 222100099873 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 (222100100003) 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 47 ways as a sum of consecutive naturals, for example, 2181060 + ... + 2280618.

It is an arithmetic number, because the mean of its divisors is an integer number (7519766800).

Almost surely, 2222100100001 is an apocalyptic number.

It is an amenable number.

222100100001 is a deficient number, since it is larger than the sum of its proper divisors (138848706399).

222100100001 is a wasteful number, since it uses less digits than its factorization.

222100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100430 (or 100427 counting only the distinct ones).

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

Adding to 222100100001 its reverse (100001001222), we get a palindrome (322101101223).

The spelling of 222100100001 in words is "two hundred twenty-two billion, one hundred million, one hundred thousand, one".

Divisors: 1 3 9 13 23 39 69 117 207 299 829 897 2487 2691 7461 10777 19067 32331 57201 96993 99559 171603 247871 298677 743613 896031 1294267 2230839 2289857 3882801 6869571 11648403 20608713 29768141 82534411 89304423 247603233 267913269 742809699 1072947343 1898291453 3218842029 5694874359 9656526087 17084623077 24677788889 74033366667 222100100001