Search a number
-
+
312031012319 = 13223394320359
BaseRepresentation
bin1001000101001100111…
…11110110010111011111
31002211101222101202222222
410202212133312113133
520103014414343234
6355202311255555
731354263562115
oct4424637662737
91084358352888
10312031012319
1111037140a994
125058267a5bb
1323569531100
1411160d13ab5
1581b3a0842e
hex48a67f65df

312031012319 has 24 divisors (see below), whose sum is σ = 352676897280. Its totient is φ = 275422241952.

The previous prime is 312031012309. The next prime is 312031012333. The reversal of 312031012319 is 913210130213.

It is not a de Polignac number, because 312031012319 - 28 = 312031012063 is a prime.

It is a super-2 number, since 2×3120310123192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031012309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15316262 + ... + 15336620.

It is an arithmetic number, because the mean of its divisors is an integer number (14694870720).

Almost surely, 2312031012319 is an apocalyptic number.

312031012319 is a deficient number, since it is larger than the sum of its proper divisors (40645884961).

312031012319 is a wasteful number, since it uses less digits than its factorization.

312031012319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24351 (or 24338 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 312031012319 in words is "three hundred twelve billion, thirty-one million, twelve thousand, three hundred nineteen".

Divisors: 1 13 23 169 299 3887 3943 20359 51259 90689 264667 468257 666367 1178957 3440671 6087341 15326441 79135433 80275537 1043581981 1846337351 13566565753 24002385563 312031012319