Search a number
-
+
320021020013031 = 3315437681549171
BaseRepresentation
bin100100011000011101011001…
…1001101111111000111100111
31112222002201012010021101121000
41020300322303031333013213
5313421211022110404111
63052343343234124343
7124256520130621551
oct11060726315770747
91488081163241530
10320021020013031
1192a72174959457
122ba862741206b3
1310974b114b998c
1459051586164d1
1526ee733c96c56
hex1230eb337f1e7

320021020013031 has 16 divisors (see below), whose sum is σ = 474412476862720. Its totient is φ = 213209078762520.

The previous prime is 320021020013029. The next prime is 320021020013077. The reversal of 320021020013031 is 130310020120023.

320021020013031 is a `hidden beast` number, since 320 + 0 + 2 + 10 + 200 + 130 + 3 + 1 = 666.

It is not a de Polignac number, because 320021020013031 - 21 = 320021020013029 is a prime.

It is a super-2 number, since 2×3200210200130312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320021020012995 and 320021020013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320021020013831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840732925 + ... + 3840816246.

It is an arithmetic number, because the mean of its divisors is an integer number (29650779803920).

Almost surely, 2320021020013031 is an apocalyptic number.

320021020013031 is a deficient number, since it is larger than the sum of its proper divisors (154391456849689).

320021020013031 is a wasteful number, since it uses less digits than its factorization.

320021020013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681550723 (or 7681550717 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320021020013031 its reverse (130310020120023), we get a palindrome (450331040133054).

The spelling of 320021020013031 in words is "three hundred twenty trillion, twenty-one billion, twenty million, thirteen thousand, thirty-one".

Divisors: 1 3 9 27 1543 4629 13887 41661 7681549171 23044647513 69133942539 207401827617 11852630370853 35557891112559 106673673337677 320021020013031