Search a number
-
+
31000213213011 = 3278231619336923
BaseRepresentation
bin1110000110001110011001…
…01100100100111101010011
311001202120222011022112020100
413003013030230210331103
513030401414040304021
6145533145031343443
76346456116413430
oct703071454447523
9131676864275210
1031000213213011
119972131204049
123588070821b83
13143b3cc93a223
147925bdc54b87
1538b5c0109626
hex1c31ccb24f53

31000213213011 has 48 divisors (see below), whose sum is σ = 51241688050176. Its totient is φ = 17691311582208.

The previous prime is 31000213212959. The next prime is 31000213213117. The reversal of 31000213213011 is 11031231200013.

31000213213011 is a `hidden beast` number, since 310 + 0 + 0 + 2 + 1 + 321 + 30 + 1 + 1 = 666.

It is not a de Polignac number, because 31000213213011 - 218 = 31000212950867 is a prime.

It is a super-2 number, since 2×310002132130112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31000213113011) 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 47 ways as a sum of consecutive naturals, for example, 839572396 + ... + 839609318.

It is an arithmetic number, because the mean of its divisors is an integer number (1067535167712).

Almost surely, 231000213213011 is an apocalyptic number.

31000213213011 is a deficient number, since it is larger than the sum of its proper divisors (20241474837165).

31000213213011 is a wasteful number, since it uses less digits than its factorization.

31000213213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53952 (or 53949 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31000213213011 its reverse (11031231200013), we get a palindrome (42031444413024).

The spelling of 31000213213011 in words is "thirty-one trillion, two hundred thirteen million, two hundred thirteen thousand, eleven".

Divisors: 1 3 7 9 21 63 823 2469 5761 7407 16193 17283 36923 48579 51849 110769 113351 145737 258461 332307 340053 775383 1020159 2326149 13326839 30387629 39980517 91162887 93287873 119941551 212713403 273488661 279863619 597894139 638140209 839590857 1793682417 1914420627 4185258973 5381047251 12555776919 37667330757 492066876397 1476200629191 3444468134779 4428601887573 10333404404337 31000213213011