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20201122010020 = 2257479967931123
BaseRepresentation
bin1001001011111011100001…
…01100111001001110100100
32122112012121221000012112211
410211331300230321032210
510121433344213310040
6110544133424453204
74153324430632060
oct445756054711644
978465557005484
1020201122010020
11648927a806a46
122323142a7a204
13b36c5abbbb63
144dba4d36aaa0
15250726a8c8ea
hex125f70b393a4

20201122010020 has 96 divisors (see below), whose sum is σ = 48590490009600. Its totient is φ = 6910703339904.

The previous prime is 20201122010011. The next prime is 20201122010029. The reversal of 20201122010020 is 2001022110202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20201122010011) and next prime (20201122010029).

It is not an unprimeable number, because it can be changed into a prime (20201122010029) 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, 649058179 + ... + 649089301.

It is an arithmetic number, because the mean of its divisors is an integer number (506150937600).

Almost surely, 220201122010020 is an apocalyptic number.

20201122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201122010020 is an abundant number, since it is smaller than the sum of its proper divisors (28389367999580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20201122010020 is a wasteful number, since it uses less digits than its factorization.

20201122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41297 (or 41295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20201122010020 its reverse (2001022110202), we get a palindrome (22202144120222).

It can be divided in two parts, 20201 and 122010020, that added together give a palindrome (122030221).

The spelling of 20201122010020 in words is "twenty trillion, two hundred one billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 479 958 1916 2395 3353 4790 6706 9580 9679 13412 16765 19358 31123 33530 38716 48395 62246 67060 67753 96790 124492 135506 155615 193580 217861 271012 311230 338765 435722 622460 677530 871444 1089305 1355060 2178610 4357220 4636241 9272482 14907917 18544964 23181205 29815834 32453687 46362410 59631668 64907374 74539585 92724820 104355419 129814748 149079170 162268435 208710838 298158340 301239517 324536870 417421676 521777095 602479034 649073740 1043554190 1204958068 1506197585 2087108380 2108676619 3012395170 4217353238 6024790340 8434706476 10543383095 21086766190 42173532380 144293728643 288587457286 577174914572 721468643215 1010056100501 1442937286430 2020112201002 2885874572860 4040224402004 5050280502505 10100561005010 20201122010020