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20331302031 = 32172335631013
BaseRepresentation
bin10010111011110101…
…110000110010001111
31221110220221011012100
4102323311300302033
5313114303131111
613201242210143
71316554134015
oct227365606217
957426834170
1020331302031
118693543157
123b34ab3953
131bc0215241
14dac2c68b5
157dedae756
hex4bbd70c8f

20331302031 has 48 divisors (see below), whose sum is σ = 31314737376. Its totient is φ = 12667066368.

The previous prime is 20331302029. The next prime is 20331302077. The reversal of 20331302031 is 13020313302.

20331302031 is a `hidden beast` number, since 2 + 0 + 331 + 302 + 0 + 31 = 666.

It is not a de Polignac number, because 20331302031 - 21 = 20331302029 is a prime.

It is a super-2 number, since 2×203313020312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20331301995 and 20331302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331302081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20069881 + ... + 20070893.

It is an arithmetic number, because the mean of its divisors is an integer number (652390362).

Almost surely, 220331302031 is an apocalyptic number.

20331302031 is a deficient number, since it is larger than the sum of its proper divisors (10983435345).

20331302031 is a wasteful number, since it uses less digits than its factorization.

20331302031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20331302031 its reverse (13020313302), we get a palindrome (33351615333).

The spelling of 20331302031 in words is "twenty billion, three hundred thirty-one million, three hundred two thousand, thirty-one".

Divisors: 1 3 9 17 51 153 233 563 699 1013 1689 2097 3039 3961 5067 9117 9571 11883 17221 28713 35649 51663 86139 131179 154989 236029 393537 570319 708087 1180611 1710957 2124261 2230043 4012493 5132871 6690129 9695423 12037479 20070387 29086269 36112437 87258807 132884327 398652981 1195958943 2259033559 6777100677 20331302031