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313030001322 = 2323713910633181
BaseRepresentation
bin1001000111000100000…
…10101100001010101010
31002220222121011200021200
410203202002230022222
520112041140020242
6355445355145030
731421114052363
oct4434202541252
91086877150250
10313030001322
11110834303135
1250801145176
13236984a606c
141121787ab6a
15822158a04c
hex48e20ac2aa

313030001322 has 96 divisors (see below), whose sum is σ = 702454247040. Its totient is φ = 100666385280.

The previous prime is 313030001281. The next prime is 313030001353. The reversal of 313030001322 is 223100030313.

313030001322 is a `hidden beast` number, since 313 + 0 + 30 + 0 + 0 + 1 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313030001295 and 313030001304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98404572 + ... + 98407752.

It is an arithmetic number, because the mean of its divisors is an integer number (7317231740).

Almost surely, 2313030001322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313030001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351227123520).

313030001322 is an abundant number, since it is smaller than the sum of its proper divisors (389424245718).

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

313030001322 is a wasteful number, since it uses less digits than its factorization.

313030001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313030001322 its reverse (223100030313), we get a palindrome (536130031635).

The spelling of 313030001322 in words is "three hundred thirteen billion, thirty million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 139 222 278 333 417 666 834 1063 1251 2126 2502 3181 3189 5143 6362 6378 9543 9567 10286 15429 19086 19134 28629 30858 39331 46287 57258 78662 92574 117697 117993 147757 235394 235986 295514 353091 353979 442159 443271 706182 707958 884318 886542 1059273 1326477 1329813 2118546 2652954 2659626 3381403 3979431 5467009 6762806 7958862 10144209 10934018 16359883 16401027 20288418 30432627 32719766 32802054 49079649 49203081 60865254 98159298 98406162 125111911 147238947 250223822 294477894 375335733 470015017 750671466 940030034 1126007199 1410045051 2252014398 2820090102 4230135153 8460270306 17390555629 34781111258 52171666887 104343333774 156515000661 313030001322