Base | Representation |
---|---|
bin | 111111100000100… |
… | …0111101011100000 |
3 | 12111111212000111010 |
4 | 1333001013223200 |
5 | 13331014000112 |
6 | 551242420520 |
7 | 103544126040 |
oct | 17701075340 |
9 | 5444760433 |
10 | 2131000032 |
11 | 9a3991957 |
12 | 4b5801740 |
13 | 27c653085 |
14 | 163039720 |
15 | c713c63c |
hex | 7f047ae0 |
2131000032 has 48 divisors (see below), whose sum is σ = 6393002112. Its totient is φ = 608856960.
The previous prime is 2131000019. The next prime is 2131000049. The reversal of 2131000032 is 2300001312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×21310000322 = 9082322272768002048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2130999981 and 2131000017.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584894 + ... + 1586237.
It is an arithmetic number, because the mean of its divisors is an integer number (133187544).
Almost surely, 22131000032 is an apocalyptic number.
It is an amenable number.
2131000032 is an abundant number, since it is smaller than the sum of its proper divisors (4262002080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131000032 is a wasteful number, since it uses less digits than its factorization.
2131000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3171151 (or 3171143 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 2131000032 is about 46162.7558969349. The cubic root of 2131000032 is about 1286.8496795821.
Adding to 2131000032 its reverse (2300001312), we get a palindrome (4431001344).
The spelling of 2131000032 in words is "two billion, one hundred thirty-one million, thirty-two", and thus it is an aban number.
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