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2221003100001 = 37594133433723
BaseRepresentation
bin100000010100011110000…
…110011100111101100001
321212022210112011120020010
4200110132012130331201
5242342103243200001
64420151552235133
7316314345600540
oct40243606347541
97768715146203
102221003100001
11786a16391974
122ba54153baa9
1313159401236a
14796d6170157
153cb902b28d6
hex2051e19cf61

2221003100001 has 32 divisors (see below), whose sum is σ = 3442588830720. Its totient is φ = 1247328955584.

The previous prime is 2221003099999. The next prime is 2221003100027. The reversal of 2221003100001 is 1000013001222.

It is not a de Polignac number, because 2221003100001 - 21 = 2221003099999 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221003100001.

It is not an unprimeable number, because it can be changed into a prime (2221003100101) 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, 4903926 + ... + 5337648.

It is an arithmetic number, because the mean of its divisors is an integer number (107580900960).

Almost surely, 22221003100001 is an apocalyptic number.

2221003100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221003100001 is a deficient number, since it is larger than the sum of its proper divisors (1221585730719).

2221003100001 is a wasteful number, since it uses less digits than its factorization.

2221003100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437925.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2221003100001 its reverse (1000013001222), we get a palindrome (3221016101223).

The spelling of 2221003100001 in words is "two trillion, two hundred twenty-one billion, three million, one hundred thousand, one".

Divisors: 1 3 7 21 59 177 413 1239 4133 12399 28931 86793 243847 433723 731541 1301169 1706929 3036061 5120787 9108183 25589657 76768971 179127599 537382797 1792577159 5377731477 12548040113 37644120339 105762052381 317286157143 740334366667 2221003100001