Search a number
-
+
1303012131300 = 2232521131087747
BaseRepresentation
bin10010111101100001100…
…100110100000111100100
311121120022011012120120200
4102331201210310013210
5132322032101200200
62434332344030500
7163065566241315
oct22754144640744
94546264176520
101303012131300
11462671419000
12190648162430
1395b48168659
14470cd62c60c
1523d635b3800
hex12f619341e4

1303012131300 has 216 divisors, whose sum is σ = 4492338326112. Its totient is φ = 315881438400.

The previous prime is 1303012131299. The next prime is 1303012131301. The reversal of 1303012131300 is 31312103031.

It is a happy number.

1303012131300 is a `hidden beast` number, since 1 + 30 + 301 + 2 + 1 + 31 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (1303012131299) and next prime (1303012131301).

It is a super-2 number, since 2×13030121313002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1303012131301) 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 71 ways as a sum of consecutive naturals, for example, 654027 + ... + 1741773.

Almost surely, 21303012131300 is an apocalyptic number.

1303012131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303012131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246169163056).

1303012131300 is an abundant number, since it is smaller than the sum of its proper divisors (3189326194812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303012131300 is a wasteful number, since it uses less digits than its factorization.

1303012131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087800 (or 1087768 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303012131300 its reverse (31312103031), we get a palindrome (1334324234331).

The spelling of 1303012131300 in words is "one trillion, three hundred three billion, twelve million, one hundred thirty-one thousand, three hundred".