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20021000031 = 3210433213223
BaseRepresentation
bin10010101001010110…
…000011011101011111
31220200022001011212200
4102221112003131133
5312000334000111
613110355302543
71306065456324
oct225126033537
956608034780
1020021000031
11854437271a
123a68baaa53
131b70b4b2a6
14d7cdd0b4b
157c2a18256
hex4a958375f

20021000031 has 12 divisors (see below), whose sum is σ = 28922129808. Its totient is φ = 13345991424.

The previous prime is 20020999951. The next prime is 20021000047. The reversal of 20021000031 is 13000012002.

It is a happy number.

It is not a de Polignac number, because 20021000031 - 210 = 20020999007 is a prime.

It is a super-2 number, since 2×200210000312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20020999977 and 20021000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021000431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12715 + ... + 200508.

It is an arithmetic number, because the mean of its divisors is an integer number (2410177484).

Almost surely, 220021000031 is an apocalyptic number.

20021000031 is a deficient number, since it is larger than the sum of its proper divisors (8901129777).

20021000031 is a wasteful number, since it uses less digits than its factorization.

20021000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223662 (or 223659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20021000031 its reverse (13000012002), we get a palindrome (33021012033).

The spelling of 20021000031 in words is "twenty billion, twenty-one million, thirty-one", and thus it is an aban number and an uban number.

Divisors: 1 3 9 10433 31299 93897 213223 639669 1919007 2224555559 6673666677 20021000031