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20121331301001 = 3271072984917861
BaseRepresentation
bin1001001001100110111001…
…10011011111101010001001
32122020120200011201012210200
410210303130303133222021
510114131441303113001
6110443340105002413
74144501230042210
oct444633463375211
978216604635720
1020121331301001
116458454a59317
12230b795183409
13b2c583245278
144d7c40312077
1524d606b61086
hex124cdccdfa89

20121331301001 has 24 divisors (see below), whose sum is σ = 33526597425984. Its totient is φ = 11390446553760.

The previous prime is 20121331300969. The next prime is 20121331301003. The reversal of 20121331301001 is 10010313312102.

20121331301001 is a `hidden beast` number, since 20 + 12 + 1 + 331 + 301 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 20121331301001 - 25 = 20121331300969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20121331301003) 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, 1492452190 + ... + 1492465671.

It is an arithmetic number, because the mean of its divisors is an integer number (1396941559416).

Almost surely, 220121331301001 is an apocalyptic number.

20121331301001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121331301001 is a deficient number, since it is larger than the sum of its proper divisors (13405266124983).

20121331301001 is a wasteful number, since it uses less digits than its factorization.

20121331301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984917981 (or 2984917978 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20121331301001 its reverse (10010313312102), we get a palindrome (30131644613103).

The spelling of 20121331301001 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred one thousand, one".

Divisors: 1 3 7 9 21 63 107 321 749 963 2247 6741 2984917861 8954753583 20894425027 26864260749 62683275081 188049825243 319386211127 958158633381 2235703477889 2874475900143 6707110433667 20121331301001