Search a number
-
+
1012021310001 = 31326183991073
BaseRepresentation
bin11101011101000010010…
…10111011001000110001
310120202012111122020122210
432232201022323020301
5113040104423410001
62052525520522333
7133054555126032
oct16564112731061
93522174566583
101012021310001
11360217712039
12144177a803a9
1374582981b20
1436da6c10a89
151b4d1ce5dd6
hexeba12bb231

1012021310001 has 16 divisors (see below), whose sum is σ = 1453215770496. Its totient is φ = 622757930496.

The previous prime is 1012021309997. The next prime is 1012021310033. The reversal of 1012021310001 is 1000131202101.

1012021310001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012021310001 - 22 = 1012021309997 is a prime.

It is a super-2 number, since 2×10120213100012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012021310051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525601 + ... + 1516673.

It is an arithmetic number, because the mean of its divisors is an integer number (90825985656).

Almost surely, 21012021310001 is an apocalyptic number.

It is an amenable number.

1012021310001 is a deficient number, since it is larger than the sum of its proper divisors (441194460495).

1012021310001 is a wasteful number, since it uses less digits than its factorization.

1012021310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017272.

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

Adding to 1012021310001 its reverse (1000131202101), we get a palindrome (2012152512102).

The spelling of 1012021310001 in words is "one trillion, twelve billion, twenty-one million, three hundred ten thousand, one".

Divisors: 1 3 13 39 26183 78549 340379 991073 1021137 2973219 12883949 38651847 25949264359 77847793077 337340436667 1012021310001