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220123321001013 = 3713978273147679
BaseRepresentation
bin110010000011001101110100…
…010110101110010000110101
31001212101120202201022111200010
4302003031310112232100311
5212323000030134013023
62100055131352410433
764236246045502503
oct6203156426562065
91055346681274603
10220123321001013
116415785a113741
122083145a9a6a19
1395a97037b3221
143c500502ad673
151a6ada572b093
hexc833745ae435

220123321001013 has 32 divisors (see below), whose sum is σ = 298742128680960. Its totient is φ = 144143003632320.

The previous prime is 220123321000997. The next prime is 220123321001029. The reversal of 220123321001013 is 310100123321022.

It is an interprime number because it is at equal distance from previous prime (220123321000997) and next prime (220123321001029).

It is not a de Polignac number, because 220123321001013 - 24 = 220123321000997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220123321001053) 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, 68358108 + ... + 71505786.

It is an arithmetic number, because the mean of its divisors is an integer number (9335691521280).

Almost surely, 2220123321001013 is an apocalyptic number.

It is an amenable number.

220123321001013 is a deficient number, since it is larger than the sum of its proper divisors (78618807679947).

220123321001013 is a wasteful number, since it uses less digits than its factorization.

220123321001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148977.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 220123321001013 its reverse (310100123321022), we get a palindrome (530223444322035).

The spelling of 220123321001013 in words is "two hundred twenty trillion, one hundred twenty-three billion, three hundred twenty-one million, one thousand, thirteen".

Divisors: 1 3 71 213 397 827 1191 2481 28187 58717 84561 176151 328319 984957 3147679 9443037 23310649 69931947 223485209 670455627 1249628563 2603130533 3748885689 7809391599 88723627973 184822267843 266170883919 554466803529 1033442821601 3100328464803 73374440333671 220123321001013