Search a number
-
+
31001422410013 = 113256278655029
BaseRepresentation
bin1110000110010000101001…
…10001010011000100011101
311001202201002102122002200111
413003020110301103010131
513030411403114110023
6145533505024530021
76346531101415216
oct703102461230435
9131681072562614
1031001422410013
1199726a1821710
123588349780911
13143b563301903
1479269669a40d
1538b64136000d
hex1c3214c5311d

31001422410013 has 8 divisors (see below), whose sum is σ = 33819841306080. Its totient is φ = 28183021475280.

The previous prime is 31001422409917. The next prime is 31001422410017.

31001422410013 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31001422410013 - 221 = 31001420312861 is a prime.

It is a super-2 number, since 2×310014224100132 (a number of 28 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 (31001422410017) 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 7 ways as a sum of consecutive naturals, for example, 745618 + ... + 7909411.

It is an arithmetic number, because the mean of its divisors is an integer number (4227480163260).

Almost surely, 231001422410013 is an apocalyptic number.

It is an amenable number.

31001422410013 is a deficient number, since it is larger than the sum of its proper divisors (2818418896067).

31001422410013 is a wasteful number, since it uses less digits than its factorization.

31001422410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980667.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 3100142 and 2410013, that added together give a palindrome (5510155).

The spelling of 31001422410013 in words is "thirty-one trillion, one billion, four hundred twenty-two million, four hundred ten thousand, thirteen".

Divisors: 1 11 325627 3581897 8655029 95205319 2818311128183 31001422410013