Search a number
-
+
1313001231003 = 327112797216113
BaseRepresentation
bin10011000110110100111…
…110001101001010011011
311122112002022110102022100
4103012310332031022123
5133003011303343003
62443103501054443
7163601252214060
oct23066476151233
94575068412270
101313001231003
11466927a68500
12192575557423
1396a7a80a537
144779a154c67
152424a51bba3
hex131b4f8d29b

1313001231003 has 72 divisors (see below), whose sum is σ = 2385452500704. Its totient is φ = 681219601920.

The previous prime is 1313001230963. The next prime is 1313001231011. The reversal of 1313001231003 is 3001321003131.

It is a happy number.

1313001231003 is a `hidden beast` number, since 131 + 300 + 1 + 231 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 1313001231003 - 212 = 1313001226907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313001231023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5967475 + ... + 6183587.

It is an arithmetic number, because the mean of its divisors is an integer number (33131284732).

Almost surely, 21313001231003 is an apocalyptic number.

1313001231003 is a deficient number, since it is larger than the sum of its proper divisors (1072451269701).

1313001231003 is a wasteful number, since it uses less digits than its factorization.

1313001231003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216945 (or 216931 counting only the distinct ones).

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

Adding to 1313001231003 its reverse (3001321003131), we get a palindrome (4314322234134).

It can be divided in two parts, 13130012 and 31003, that added together give a triangular number (13161015 = T5130).

The spelling of 1313001231003 in words is "one trillion, three hundred thirteen billion, one million, two hundred thirty-one thousand, three".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 797 847 1089 2391 2541 5579 7173 7623 8767 16737 26301 50211 61369 78903 96437 184107 216113 289311 552321 648339 675059 867933 1512791 1945017 2025177 2377243 4538373 6075531 7131729 13615119 16640701 21395187 26149673 49922103 78449019 149766309 172242061 183047711 235347057 516726183 549143133 1205694427 1550178549 1647429399 1894662671 3617083281 5683988013 10851249843 13262638697 17051964039 20841289381 39787916091 62523868143 119363748273 145889025667 187571604429 437667077001 1313001231003