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10301980753 = 409109722961
BaseRepresentation
bin10011001100000101…
…11100000001010001
3222120221222211211201
421212002330001101
5132044301341003
64422131111201
7513202251211
oct114602740121
928527884751
1010301980753
114407221689
121bb6142501
13c8242c9cc
146da2d0241
1540465db1d
hex2660bc051

10301980753 has 8 divisors (see below), whose sum is σ = 10337033160. Its totient is φ = 10266977280.

The previous prime is 10301980751. The next prime is 10301980757. The reversal of 10301980753 is 35708910301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3508429824 + 6793550929 = 59232^2 + 82423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10301980753 - 21 = 10301980751 is a prime.

It is a super-3 number, since 3×103019807533 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10301980751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437193 + ... + 460153.

It is an arithmetic number, because the mean of its divisors is an integer number (1292129145).

Almost surely, 210301980753 is an apocalyptic number.

It is an amenable number.

10301980753 is a deficient number, since it is larger than the sum of its proper divisors (35052407).

10301980753 is a wasteful number, since it uses less digits than its factorization.

10301980753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10301980753 in words is "ten billion, three hundred one million, nine hundred eighty thousand, seven hundred fifty-three".

Divisors: 1 409 1097 22961 448673 9391049 25188217 10301980753