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931219210009 = 11237223712
BaseRepresentation
bin11011000110100001111…
…11010111111100011001
310022000122021020021022201
431203100333113330121
5110224114104210014
61551443551250201
7124164323453344
oct15432077277431
93260567207281
10931219210009
11329a22a70400
12130587519961
1369a7661033a
14330dd72145b
15193531d7e74
hexd8d0fd7f19

931219210009 has 27 divisors (see below), whose sum is σ = 1052427176703. Its totient is φ = 823335440400.

The previous prime is 931219209983. The next prime is 931219210021. The reversal of 931219210009 is 900012912139.

It is a happy number.

The square root of 931219210009 is 964997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 833267737225 + 97951472784 = 912835^2 + 312972^2 .

It is not a de Polignac number, because 931219210009 - 215 = 931219177241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 931219210009.

It is not an unprimeable number, because it can be changed into a prime (931219210309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 392752594 + ... + 392754964.

Almost surely, 2931219210009 is an apocalyptic number.

931219210009 is the 964997-th square number.

931219210009 is the 482499-th centered octagonal number.

It is an amenable number.

931219210009 is a deficient number, since it is larger than the sum of its proper divisors (121207966694).

931219210009 is an frugal number, since it uses more digits than its factorization.

931219210009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 931219210009 in words is "nine hundred thirty-one billion, two hundred nineteen million, two hundred ten thousand, nine".

Divisors: 1 11 37 121 407 1369 2371 4477 15059 26081 87727 165649 286891 964997 3245899 5621641 10614967 35704889 61838051 208000717 392753779 680218561 2288007887 7696026529 25168086757 84656291819 931219210009