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313003035020 = 225133076136397
BaseRepresentation
bin1001000111000000110…
…11110100100110001100
31002220220201102122110202
410203200123310212030
520112012234110040
6355442553153032
731420335620414
oct4434033644614
91086821378422
10313003035020
11110820064a35
12507b40bb778
1323692a23b80
141121405b644
15821e010015
hex48e06f498c

313003035020 has 96 divisors (see below), whose sum is σ = 711443882688. Its totient is φ = 114988004352.

The previous prime is 313003035017. The next prime is 313003035041. The reversal of 313003035020 is 20530300313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313003034983 and 313003035001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48926462 + ... + 48932858.

It is an arithmetic number, because the mean of its divisors is an integer number (7410873778).

Almost surely, 2313003035020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313003035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355721941344).

313003035020 is an abundant number, since it is smaller than the sum of its proper divisors (398440847668).

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

313003035020 is a wasteful number, since it uses less digits than its factorization.

313003035020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 313003035020 its reverse (20530300313), we get a palindrome (333533335333).

The spelling of 313003035020 in words is "three hundred thirteen billion, three million, thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 613 614 1226 1228 1535 2452 3065 3070 3991 6130 6140 6397 7969 7982 12260 12794 15938 15964 19955 25588 31876 31985 39845 39910 63970 79690 79820 83161 127940 159380 166322 188191 332644 376382 415805 752764 831610 940955 1663220 1881910 1963879 2446483 3763820 3921361 3927758 4892966 7842722 7855516 9785932 9819395 12232415 15685444 19606805 19638790 24464830 25530427 39213610 39277580 48929660 50977693 51060854 78427220 101955386 102121708 127652135 203910772 254888465 255304270 509776930 510608540 1019553860 1203857827 2407715654 4815431308 6019289135 12038578270 15650151751 24077156540 31300303502 62600607004 78250758755 156501517510 313003035020