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3032013131300 = 2252617119136653
BaseRepresentation
bin101100000111110010000…
…100001100111000100100
3101201212011012121211210202
4230013302010030320210
5344134030330200200
610240515420010032
7432025053245306
oct54076204147044
911655135554722
103032013131300
11a6996240608a
1240b75b090918
1318cbc0cb924a
14a6a70857976
1553d09e761d5
hex2c1f210ce24

3032013131300 has 144 divisors (see below), whose sum is σ = 6817207670784. Its totient is φ = 1169931840000.

The previous prime is 3032013131299. The next prime is 3032013131321. The reversal of 3032013131300 is 31313102303.

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

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 47 ways as a sum of consecutive naturals, for example, 82703774 + ... + 82740426.

It is an arithmetic number, because the mean of its divisors is an integer number (47341719936).

Almost surely, 23032013131300 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 3032013131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408603835392).

3032013131300 is an abundant number, since it is smaller than the sum of its proper divisors (3785194539484).

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

3032013131300 is a wasteful number, since it uses less digits than its factorization.

3032013131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36990 (or 36983 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3032013131300 its reverse (31313102303), we get a palindrome (3063326233603).

The spelling of 3032013131300 in words is "three trillion, thirty-two billion, thirteen million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 71 100 122 142 191 244 284 305 355 382 610 710 764 955 1220 1420 1525 1775 1910 3050 3550 3820 4331 4775 6100 7100 8662 9550 11651 13561 17324 19100 21655 23302 27122 36653 43310 46604 54244 58255 67805 73306 86620 108275 116510 135610 146612 183265 216550 233020 271220 291275 339025 366530 433100 582550 678050 733060 827221 916325 1165100 1356100 1654442 1832650 2235833 2602363 3308884 3665300 4136105 4471666 5204726 7000723 8272210 8943332 10409452 11179165 13011815 14001446 16544420 20680525 22358330 26023630 28002892 35003615 41361050 44716660 52047260 55895825 65059075 70007230 82722100 111791650 130118150 140014460 158744143 175018075 223583300 260236300 317488286 350036150 427044103 497051333 634976572 700072300 793720715 854088206 994102666 1587441430 1708176412 1988205332 2135220515 2485256665 3174882860 3968603575 4270441030 4970513330 7937207150 8540882060 9941026660 10676102575 12426283325 15874414300 21352205150 24852566650 30320131313 42704410300 49705133300 60640262626 121280525252 151600656565 303201313130 606402626260 758003282825 1516006565650 3032013131300