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220120202202001 = 172941103423124989
BaseRepresentation
bin110010000011001010111010…
…011101011100101110010001
31001212101021201100202002201121
4302003022322131130232101
5212322422133230431001
62100053454102002241
764236105545240143
oct6203127235345621
91055337640662647
10220120202202001
11641564a96918a2
122083092a416381
1395a932760561a
143c4dc35dc0c93
151a6ac71a1c6a1
hexc832ba75cb91

220120202202001 has 64 divisors (see below), whose sum is σ = 249452754969600. Its totient is φ = 193201298841600.

The previous prime is 220120202201989. The next prime is 220120202202013. The reversal of 220120202202001 is 100202202021022.

220120202202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220120202201989) and next prime (220120202202013).

It is not a de Polignac number, because 220120202202001 - 225 = 220120168647569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220120202202031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8808671415 + ... + 8808696403.

It is an arithmetic number, because the mean of its divisors is an integer number (3897699296400).

Almost surely, 2220120202202001 is an apocalyptic number.

It is an amenable number.

220120202202001 is a deficient number, since it is larger than the sum of its proper divisors (29332552767599).

220120202202001 is a wasteful number, since it uses less digits than its factorization.

220120202202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29410.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220120202202001 its reverse (100202202021022), we get a palindrome (320322404223023).

The spelling of 220120202202001 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, one".

Divisors: 1 17 29 41 103 493 697 1189 1751 2987 4223 4231 20213 24989 50779 71791 71927 122467 122699 173471 424813 435793 724681 1024549 2081939 2085883 2573867 2949007 5030659 7408481 12319577 12637997 17417333 17867513 29711921 43755739 74642143 85521203 105528547 105728459 214845949 303747721 505102657 518157877 1268916431 1793985299 1797383803 3060327863 3066125311 4334866819 8808683909 10890031277 52025573671 52124130287 73692735923 125711137751 185130531709 315810907033 446491282357 2137089341767 5368785419561 7590351800069 12948247188353 220120202202001