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20021121011001 = 31161101701140477
BaseRepresentation
bin1001000110101100001111…
…10011100100110100111001
32121220000000100101000220110
410203112013303210310321
510111011223434323001
6110325324230414533
74134323020451265
oct443260763446471
977800010330813
1020021121011001
116419a00952230
1222b4288b01449
13b22ca2cb7996
144d30553910a5
1524abde2383d6
hex123587ce4d39

20021121011001 has 64 divisors (see below), whose sum is σ = 29934949254912. Its totient is φ = 11799984000000.

The previous prime is 20021121010981. The next prime is 20021121011011. The reversal of 20021121011001 is 10011012112002.

It is not a de Polignac number, because 20021121011001 - 211 = 20021121008953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20021121011011) 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 63 ways as a sum of consecutive naturals, for example, 142452175 + ... + 142592651.

It is an arithmetic number, because the mean of its divisors is an integer number (467733582108).

Almost surely, 220021121011001 is an apocalyptic number.

It is an amenable number.

20021121011001 is a deficient number, since it is larger than the sum of its proper divisors (9913828243911).

20021121011001 is a wasteful number, since it uses less digits than its factorization.

20021121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141354.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20021121011001 its reverse (10011012112002), we get a palindrome (30032133123003).

It can be divided in two parts, 200211 and 21011001, that added together give a palindrome (21211212).

The spelling of 20021121011001 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, eleven thousand, one".

Divisors: 1 3 11 33 61 101 183 303 671 701 1111 2013 2103 3333 6161 7711 18483 23133 42761 67771 70801 128283 140477 203313 212403 421431 470371 778811 1411113 1545247 2336433 4318861 4635741 8569097 12956583 14188177 25707291 42564531 47507471 94260067 98474377 142522413 156069947 282780201 295423131 468209841 865478797 1083218147 2596436391 3249654441 6006936997 9520266767 9945912077 18020810991 28560800301 29837736231 66076306967 109405032847 198228920901 328215098541 606700636697 1820101910091 6673707003667 20021121011001