Search a number
-
+
31003023213 = 3423311792999
BaseRepresentation
bin11100110111111011…
…001001011101101101
32222000122122202120000
4130313323021131231
51001443233220323
622124222214513
72145166230531
oct346773113555
988018582500
1031003023213
111216a442238
126012a24439
132c01120366
141701741bc1
15c16c05e43
hex737ec976d

31003023213 has 80 divisors (see below), whose sum is σ = 50181120000. Its totient is φ = 19019072160.

The previous prime is 31003023209. The next prime is 31003023221. The reversal of 31003023213 is 31232030013.

31003023213 is a `hidden beast` number, since 310 + 0 + 30 + 2 + 321 + 3 = 666.

It is not a de Polignac number, because 31003023213 - 22 = 31003023209 is a prime.

It is a super-2 number, since 2×310030232132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10336288 + ... + 10339286.

It is an arithmetic number, because the mean of its divisors is an integer number (627264000).

Almost surely, 231003023213 is an apocalyptic number.

It is an amenable number.

31003023213 is a deficient number, since it is larger than the sum of its proper divisors (19178096787).

31003023213 is a wasteful number, since it uses less digits than its factorization.

31003023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31003023213 its reverse (31232030013), we get a palindrome (62235053226).

The spelling of 31003023213 in words is "thirty-one billion, three million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 23 27 31 69 81 93 179 207 279 537 621 713 837 1611 1863 2139 2511 2999 4117 4833 5549 6417 8997 12351 14499 16647 19251 26991 37053 49941 57753 68977 80973 92969 111159 127627 149823 206931 242919 278907 333477 382881 449469 536821 620793 836721 1148643 1610463 1862379 2138287 2510163 3445929 4831389 5587137 6414861 7530489 10337787 12346883 14494167 16641451 19244583 37040649 43482501 49924353 57733749 111121947 149773059 173201247 333365841 382753373 449319177 1000097523 1148260119 1347957531 3444780357 10334341071 31003023213