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10223022303 = 3213316914079
BaseRepresentation
bin10011000010101011…
…01111000011011111
3222101110102100012200
421201111233003133
5131414043203203
64410230502543
7511223153514
oct114125570337
928343370180
1010223022303
1143766a1a6a
121b93804a53
13c6bc75730
146cda1930b
153ec7639a3
hex26156f0df

10223022303 has 48 divisors (see below), whose sum is σ = 16443248640. Its totient is φ = 6077851200.

The previous prime is 10223022283. The next prime is 10223022323. The reversal of 10223022303 is 30322032201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10223022283) and next prime (10223022323).

It is not a de Polignac number, because 10223022303 - 26 = 10223022239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223022323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2504218 + ... + 2508296.

It is an arithmetic number, because the mean of its divisors is an integer number (342567680).

Almost surely, 210223022303 is an apocalyptic number.

10223022303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10223022303 is a deficient number, since it is larger than the sum of its proper divisors (6220226337).

10223022303 is a wasteful number, since it uses less digits than its factorization.

10223022303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10223022303 its reverse (30322032201), we get a palindrome (40545054504).

The spelling of 10223022303 in words is "ten billion, two hundred twenty-three million, twenty-two thousand, three hundred three".

Divisors: 1 3 9 13 31 39 93 117 279 403 691 1209 2073 3627 4079 6219 8983 12237 21421 26949 36711 53027 64263 80847 126449 159081 192789 278473 379347 477243 835419 1138041 1643837 2506257 2818589 4931511 8455767 14794533 25367301 36641657 87376259 109924971 262128777 329774913 786386331 1135891367 3407674101 10223022303