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10213013223 = 35713145833
BaseRepresentation
bin10011000001011111…
…00011011011100111
3222100202120211100000
421200233203123213
5131404012410343
64405232152343
7511042115520
oct114057433347
928322524300
1010213013223
114370a85aa6
121b903986b3
13c69b7c9ba
146cc571847
153eb937ed3
hex260be36e7

10213013223 has 48 divisors (see below), whose sum is σ = 17617856256. Its totient is φ = 5791331520.

The previous prime is 10213013159. The next prime is 10213013257. The reversal of 10213013223 is 32231031201.

It is not a de Polignac number, because 10213013223 - 26 = 10213013159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213013196 and 10213013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213013263) 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, 199915 + ... + 245747.

It is an arithmetic number, because the mean of its divisors is an integer number (367038672).

Almost surely, 210213013223 is an apocalyptic number.

10213013223 is a deficient number, since it is larger than the sum of its proper divisors (7404843033).

10213013223 is an equidigital number, since it uses as much as digits as its factorization.

10213013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45986 (or 45974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213013223 its reverse (32231031201), we get a palindrome (42444044424).

The spelling of 10213013223 in words is "ten billion, two hundred thirteen million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 131 189 243 393 567 917 1179 1701 2751 3537 8253 10611 24759 31833 45833 74277 137499 222831 320831 412497 962493 1237491 2887479 3712473 6004123 8662437 11137419 18012369 25987311 42028861 54037107 77961933 126086583 162111321 378259749 486333963 1134779247 1459001889 3404337741 10213013223