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20001110031 = 337215117997
BaseRepresentation
bin10010101000001010…
…001011100000001111
31220121220121122221000
4102220022023200033
5311430241010111
613104405111343
71305434426100
oct225012134017
956556548830
1020001110031
118534118001
123a623b8553
131b699a5c66
14d7a4d43a7
157c0dd9c56
hex4a828b80f

20001110031 has 24 divisors (see below), whose sum is σ = 34469035440. Its totient is φ = 11429204976.

The previous prime is 20001110029. The next prime is 20001110033. The reversal of 20001110031 is 13001110002.

It is an interprime number because it is at equal distance from previous prime (20001110029) and next prime (20001110033).

It is not a de Polignac number, because 20001110031 - 21 = 20001110029 is a prime.

It is a super-3 number, since 3×200011100313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 20001109995 and 20001110022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001110033) 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, 7557676 + ... + 7560321.

It is an arithmetic number, because the mean of its divisors is an integer number (1436209810).

Almost surely, 220001110031 is an apocalyptic number.

20001110031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20001110031 is a deficient number, since it is larger than the sum of its proper divisors (14467925409).

20001110031 is a wasteful number, since it uses less digits than its factorization.

20001110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118020 (or 15118007 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20001110031 its reverse (13001110002), we get a palindrome (33002220033).

The spelling of 20001110031 in words is "twenty billion, one million, one hundred ten thousand, thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 15117997 45353991 105825979 136061973 317477937 408185919 740781853 952433811 2222345559 2857301433 6667036677 20001110031