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10220023313 = 298323318223
BaseRepresentation
bin10011000010010100…
…10010111000010001
3222101020202222100222
421201022102320101
5131412311221223
64410042322425
7511155523223
oct114112227021
928336688328
1010220023313
114374a33865
121b927b9415
13c6b465696
146cd478413
153ec3700c8
hex261292e11

10220023313 has 16 divisors (see below), whose sum is σ = 10746328320. Its totient is φ = 9706349184.

The previous prime is 10220023291. The next prime is 10220023349. The reversal of 10220023313 is 31332002201.

It is not a de Polignac number, because 10220023313 - 28 = 10220023057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220023291 and 10220023300.

It is not an unprimeable number, because it can be changed into a prime (10220023013) 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 15 ways as a sum of consecutive naturals, for example, 551720 + ... + 569942.

It is an arithmetic number, because the mean of its divisors is an integer number (671645520).

Almost surely, 210220023313 is an apocalyptic number.

It is an amenable number.

10220023313 is a deficient number, since it is larger than the sum of its proper divisors (526305007).

10220023313 is a wasteful number, since it uses less digits than its factorization.

10220023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10220023313 its reverse (31332002201), we get a palindrome (41552025514).

The spelling of 10220023313 in words is "ten billion, two hundred twenty million, twenty-three thousand, three hundred thirteen".

Divisors: 1 29 83 233 2407 6757 18223 19339 528467 560831 1512509 4245959 43862761 123132811 352414597 10220023313