Search a number
-
+
10021000753 is a prime number
BaseRepresentation
bin10010101010100110…
…00101011000110001
3221212101021120202001
421111103011120301
5131010334011003
64334212454001
7503221046431
oct112523053061
927771246661
1010021000753
114282659205
121b3801a301
13c3916125a
146b0c6c2c1
153d9b5a61d
hex2554c5631

10021000753 has 2 divisors, whose sum is σ = 10021000754. Its totient is φ = 10021000752.

The previous prime is 10021000741. The next prime is 10021000757. The reversal of 10021000753 is 35700012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8533510129 + 1487490624 = 92377^2 + 38568^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021000753 - 213 = 10020992561 is a prime.

It is a super-3 number, since 3×100210007533 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021000753.

It is not a weakly prime, because it can be changed into another prime (10021000757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010500376 + 5010500377.

It is an arithmetic number, because the mean of its divisors is an integer number (5010500377).

Almost surely, 210021000753 is an apocalyptic number.

It is an amenable number.

10021000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021000753 is an equidigital number, since it uses as much as digits as its factorization.

10021000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

Adding to 10021000753 its reverse (35700012001), we get a palindrome (45721012754).

The spelling of 10021000753 in words is "ten billion, twenty-one million, seven hundred fifty-three", and thus it is an aban number.