Search a number
-
+
3012310321020 = 223257112133741077
BaseRepresentation
bin101011110101011011101…
…011111100011101111100
3101122222022002022101012200
4223311123223330131330
5343323202420233040
610223500344231500
7430426600154610
oct53653353743574
911588262271180
103012310321020
11a61571711100
1240798076b590
1318b0a1067220
14a5b21c13340
1553555361630
hex2bd5bafc77c

3012310321020 has 864 divisors, whose sum is σ = 12695657380224. Its totient is φ = 562156277760.

The previous prime is 3012310320967. The next prime is 3012310321021. The reversal of 3012310321020 is 201230132103.

3012310321020 is a `hidden beast` number, since 3 + 0 + 12 + 310 + 321 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3012310320984 and 3012310321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012310321021) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73312722 + ... + 73353798.

Almost surely, 23012310321020 is an apocalyptic number.

3012310321020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012310321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347828690112).

3012310321020 is an abundant number, since it is smaller than the sum of its proper divisors (9683347059204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3012310321020 is a wasteful number, since it uses less digits than its factorization.

3012310321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41171 (or 41155 counting only the distinct ones).

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

Adding to 3012310321020 its reverse (201230132103), we get a palindrome (3213540453123).

The spelling of 3012310321020 in words is "three trillion, twelve billion, three hundred ten million, three hundred twenty-one thousand, twenty".