Search a number
-
+
301312122031020 = 223510977035981071
BaseRepresentation
bin100010010000010101011001…
…0000000000000101110101100
31110111212011020212001000112010
41010200222302000000232230
5303443144211214443040
62544500513345041220
7120316040162635662
oct10440526200005654
91414764225030463
10301312122031020
1188009831771a71
1229964384026210
13cc187c3a1c279
145459827cc6c32
1524c7c46aabe80
hex1120ab2000bac

301312122031020 has 96 divisors (see below), whose sum is σ = 851524742154240. Its totient is φ = 79602395569920.

The previous prime is 301312122031013. The next prime is 301312122031031. The reversal of 301312122031020 is 20130221213103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47387085 + ... + 53368155.

It is an arithmetic number, because the mean of its divisors is an integer number (8870049397440).

Almost surely, 2301312122031020 is an apocalyptic number.

301312122031020 is a gapful number since it is divisible by the number (30) 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 301312122031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425762371077120).

301312122031020 is an abundant number, since it is smaller than the sum of its proper divisors (550212620123220).

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

301312122031020 is a wasteful number, since it uses less digits than its factorization.

301312122031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988895 (or 5988893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 301312122031020 its reverse (20130221213103), we get a palindrome (321442343244123).

The spelling of 301312122031020 in words is "three hundred one trillion, three hundred twelve billion, one hundred twenty-two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 7703 15406 23109 30812 38515 46218 77030 92436 115545 154060 231090 462180 839627 1679254 2518881 3358508 4198135 5037762 5981071 8396270 10075524 11962142 12594405 16792540 17943213 23924284 25188810 29905355 35886426 50377620 59810710 71772852 89716065 119621420 179432130 358864260 651936739 1303873478 1955810217 2607746956 3259683695 3911620434 6519367390 7823240868 9779051085 13038734780 19558102170 39116204340 46072189913 92144379826 138216569739 184288759652 230360949565 276433139478 460721899130 552866278956 691082848695 921443798260 1382165697390 2764331394780 5021868700517 10043737401034 15065606101551 20087474802068 25109343502585 30131212203102 50218687005170 60262424406204 75328030507755 100437374010340 150656061015510 301312122031020