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10021020319 = 37751360637
BaseRepresentation
bin10010101010100110…
…01010001010011111
3221212101022120120201
421111103022022133
5131010340122234
64334213124331
7503221160452
oct112523121237
927771276521
1010021020319
114282671982
121b380296a7
13c3916a12b
146b0c75499
153d9b61314
hex2554ca29f

10021020319 has 8 divisors (see below), whose sum is σ = 10305591488. Its totient is φ = 9737172000.

The previous prime is 10021020307. The next prime is 10021020341. The reversal of 10021020319 is 91302012001.

10021020319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021020319 is a prime.

It is a super-2 number, since 2×100210203192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021020296 and 10021020305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021020349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152532 + ... + 208105.

It is an arithmetic number, because the mean of its divisors is an integer number (1288198936).

Almost surely, 210021020319 is an apocalyptic number.

10021020319 is a deficient number, since it is larger than the sum of its proper divisors (284571169).

10021020319 is an equidigital number, since it uses as much as digits as its factorization.

10021020319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361425.

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 10021020319 in words is "ten billion, twenty-one million, twenty thousand, three hundred nineteen".

Divisors: 1 37 751 27787 360637 13343569 270838387 10021020319