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10210223023 = 7111331893697
BaseRepresentation
bin10011000001001001…
…11010001110101111
3222100120100001220021
421200210322032233
5131402304114043
64405052303011
7511006315030
oct114044721657
928316301807
1010210223023
11436a44a750
121b8b471a67
13c694139b0
146cc046a87
153eb5863ed
hex26093a3af

10210223023 has 64 divisors (see below), whose sum is σ = 14313922560. Its totient is φ = 7025356800.

The previous prime is 10210222999. The next prime is 10210223027. The reversal of 10210223023 is 32032201201.

10210223023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10210223023 - 221 = 10208125871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210222988 and 10210223006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210223027) 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 63 ways as a sum of consecutive naturals, for example, 2759911 + ... + 2763607.

It is an arithmetic number, because the mean of its divisors is an integer number (223655040).

Almost surely, 210210223023 is an apocalyptic number.

10210223023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10210223023 is a deficient number, since it is larger than the sum of its proper divisors (4103699537).

10210223023 is a wasteful number, since it uses less digits than its factorization.

10210223023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10210223023 its reverse (32032201201), we get a palindrome (42242424224).

The spelling of 10210223023 in words is "ten billion, two hundred ten million, two hundred twenty-three thousand, twenty-three".

Divisors: 1 7 11 13 31 77 89 91 143 217 341 403 623 979 1001 1157 2387 2759 2821 3697 4433 6853 8099 12727 19313 25879 30349 31031 35867 40667 48061 89089 114607 212443 251069 284669 329033 336427 394537 528671 802249 1260677 1489891 2303231 2761759 3619363 3700697 4277429 8824739 10200023 10429237 16388801 25335541 29942003 47051719 71400161 112200253 114721607 132600299 329362033 785401771 928202093 1458603289 10210223023