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2221020020013 = 319731693315281
BaseRepresentation
bin100000010100011111000…
…110111111110100101101
321212022211201000012010020
4200110133012333310231
5242342122111120023
64420153355032353
7316314642451164
oct40243706776455
97768751005106
102221020020013
11786a24999153
122ba54713b6b9
131315976878c2
14796d84d63db
153cb91a05de3
hex2051f1bfd2d

2221020020013 has 32 divisors (see below), whose sum is σ = 3161799231360. Its totient is φ = 1382712145920.

The previous prime is 2221020020003. The next prime is 2221020020017. The reversal of 2221020020013 is 3100200201222.

It is a happy number.

It is not a de Polignac number, because 2221020020013 - 24 = 2221020019997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221020019974 and 2221020020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221020020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6886933 + ... + 7202213.

It is an arithmetic number, because the mean of its divisors is an integer number (98806225980).

Almost surely, 22221020020013 is an apocalyptic number.

It is an amenable number.

2221020020013 is a deficient number, since it is larger than the sum of its proper divisors (940779211347).

2221020020013 is a wasteful number, since it uses less digits than its factorization.

2221020020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317069.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2221020020013 its reverse (3100200201222), we get a palindrome (5321220221235).

The spelling of 2221020020013 in words is "two trillion, two hundred twenty-one billion, twenty million, twenty thousand, thirteen".

Divisors: 1 3 19 57 73 219 1387 1693 4161 5079 32167 96501 123589 315281 370767 945843 2348191 5990339 7044573 17971017 23015513 69046539 437294747 533770733 1311884241 1601312199 10141643927 30424931781 38965263509 116895790527 740340006671 2221020020013