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20012012120021 = 292371408145673
BaseRepresentation
bin1001000110011011010001…
…10111111010011111010101
32121212010111112101102112212
410203031220313322133111
510110334100100320041
6110321220315323205
74133551213244645
oct443155067723725
977763445342485
1020012012120021
116416057147659
1222b2566450505
13b22180b0006c
144d282d712525
1524a8596ec8eb
hex123368dfa7d5

20012012120021 has 24 divisors (see below), whose sum is σ = 21288013608264. Its totient is φ = 18797981368320.

The previous prime is 20012012119951. The next prime is 20012012120059. The reversal of 20012012120021 is 12002121021002.

It can be written as a sum of positive squares in 12 ways, for example, as 1812496764100 + 18199515355921 = 1346290^2 + 4266089^2 .

It is a de Polignac number, because none of the positive numbers 2k-20012012120021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20012012119978 and 20012012120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014012120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438135641 + ... + 438181313.

It is an arithmetic number, because the mean of its divisors is an integer number (887000567011).

Almost surely, 220012012120021 is an apocalyptic number.

It is an amenable number.

20012012120021 is a deficient number, since it is larger than the sum of its proper divisors (1276001488243).

20012012120021 is a wasteful number, since it uses less digits than its factorization.

20012012120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59849 (or 59820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20012012120021 its reverse (12002121021002), we get a palindrome (32014133141023).

The spelling of 20012012120021 in words is "twenty trillion, twelve billion, twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 29 37 841 1073 14081 31117 45673 408349 520997 1324517 1689901 11842121 15108913 38410993 49007129 438158477 643121513 1421206741 18650523877 23795495981 540865192433 690069383449 20012012120021