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20010222400101 = 3292837731051397
BaseRepresentation
bin1001000110010111111100…
…01100101011001001100101
32121211221212210201020100220
410203023332030223021211
510110321413413300401
6110320322543354553
74133455652004423
oct443137614531145
977757783636326
1020010222400101
11641531897458a
1222b2146bb2a59
13b21c5709c1ab
144d26ddb54113
1524a7a2525336
hex1232fe32b265

20010222400101 has 32 divisors (see below), whose sum is σ = 27733692332160. Its totient is φ = 12818014427904.

The previous prime is 20010222400097. The next prime is 20010222400117. The reversal of 20010222400101 is 10100422201002.

It is not a de Polignac number, because 20010222400101 - 22 = 20010222400097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010222400151) 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, 18506335 + ... + 19557731.

It is an arithmetic number, because the mean of its divisors is an integer number (866677885380).

Almost surely, 220010222400101 is an apocalyptic number.

It is an amenable number.

20010222400101 is a deficient number, since it is larger than the sum of its proper divisors (7723469932059).

20010222400101 is a wasteful number, since it uses less digits than its factorization.

20010222400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052485.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20010222400101 its reverse (10100422201002), we get a palindrome (30110644601103).

The spelling of 20010222400101 in words is "twenty trillion, ten billion, two hundred twenty-two million, four hundred thousand, one hundred one".

Divisors: 1 3 29 87 283 773 849 2319 8207 22417 24621 67251 218759 656277 1051397 3154191 6344011 19032033 30490513 91471539 297545351 812729881 892636053 2438189643 8628815179 23569166549 25886445537 70707499647 230002556323 690007668969 6670074133367 20010222400101