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10021000319 = 1117427112547
BaseRepresentation
bin10010101010100110…
…00101010001111111
3221212101021120010222
421111103011101333
5131010334002234
64334212451555
7503221045241
oct112523052177
927771246128
1010021000319
114282658950
121b38019bbb
13c39160cb5
146b0c6c091
153d9b5a42e
hex2554c547f

10021000319 has 16 divisors (see below), whose sum is σ = 11578692096. Its totient is φ = 8571427200.

The previous prime is 10021000313. The next prime is 10021000333. The reversal of 10021000319 is 91300012001.

It is a happy number.

It is not a de Polignac number, because 10021000319 - 24 = 10021000303 is a prime.

It is a super-2 number, since 2×100210003192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021000297 and 10021000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021000313) 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, 792404 + ... + 804950.

It is an arithmetic number, because the mean of its divisors is an integer number (723668256).

Almost surely, 210021000319 is an apocalyptic number.

10021000319 is a deficient number, since it is larger than the sum of its proper divisors (1557691777).

10021000319 is a wasteful number, since it uses less digits than its factorization.

10021000319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16846.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 10021000319 in words is "ten billion, twenty-one million, three hundred nineteen", and thus it is an aban number.

Divisors: 1 11 17 187 4271 12547 46981 72607 138017 213299 798677 2346289 53588237 589470607 911000029 10021000319