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220242313421213 = 31125955331101987
BaseRepresentation
bin110010000100111100101000…
…110110110010000110011101
31001212210221220111112202112012
4302010330220312302012131
5212331422224213434323
62100225531053121005
764250660561414456
oct6204745066620635
91055727814482465
10220242313421213
11641a3271248186
1220850529189165
1395b79b8008315
143c55adb89412d
151a6e01c004678
hexc84f28db219d

220242313421213 has 16 divisors (see below), whose sum is σ = 227533824645120. Its totient is φ = 212962494241200.

The previous prime is 220242313421209. The next prime is 220242313421257. The reversal of 220242313421213 is 312124313242022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220242313421213 - 22 = 220242313421209 is a prime.

It is a super-2 number, since 2×2202423134212132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220242313421213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220242313421203) 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 15 ways as a sum of consecutive naturals, for example, 2159462606 + ... + 2159564592.

It is an arithmetic number, because the mean of its divisors is an integer number (14220864040320).

Almost surely, 2220242313421213 is an apocalyptic number.

It is an amenable number.

220242313421213 is a deficient number, since it is larger than the sum of its proper divisors (7291511223907).

220242313421213 is a wasteful number, since it uses less digits than its factorization.

220242313421213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158608.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 220242313421213 its reverse (312124313242022), we get a palindrome (532366626663235).

The spelling of 220242313421213 in words is "two hundred twenty trillion, two hundred forty-two billion, three hundred thirteen million, four hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 31 1259 39029 55331 101987 1715261 3161597 69661729 128401633 2159513599 3980450623 5643042697 174934323607 7104590755523 220242313421213