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1300210104300 = 2235223635929633
BaseRepresentation
bin10010111010111010100…
…011111011011111101100
311121022001212200212010220
4102322322203323133230
5132300312241314200
62433150330531340
7162636263351352
oct22727243733754
94538055625126
101300210104300
11461463786708
1218bba5896b50
13957bc7ab903
1446d0543b7d2
1523c4c5c84a0
hex12eba8fb7ec

1300210104300 has 144 divisors (see below), whose sum is σ = 3926253703680. Its totient is φ = 331584450560.

The previous prime is 1300210104293. The next prime is 1300210104343. The reversal of 1300210104300 is 34010120031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300210104300.

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, 43862284 + ... + 43891916.

It is an arithmetic number, because the mean of its divisors is an integer number (27265650720).

Almost surely, 21300210104300 is an apocalyptic number.

1300210104300 is a gapful number since it is divisible by the number (10) 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 1300210104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963126851840).

1300210104300 is an abundant number, since it is smaller than the sum of its proper divisors (2626043599380).

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

1300210104300 is a wasteful number, since it uses less digits than its factorization.

1300210104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36032 (or 36025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1300210104300 its reverse (34010120031), we get a palindrome (1334220224331).

The spelling of 1300210104300 in words is "one trillion, three hundred billion, two hundred ten million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6359 6900 12718 19077 25436 29633 31795 38154 59266 63590 76308 88899 95385 118532 127180 146257 148165 158975 177798 190770 292514 296330 317950 355596 381540 438771 444495 476925 585028 592660 635900 681559 731285 740825 877542 888990 953850 1363118 1462570 1481650 1755084 1777980 1907700 2044677 2193855 2222475 2726236 2925140 2963300 3407795 3656425 4089354 4387710 4444950 6815590 7312850 8178708 8775420 8889900 10223385 10969275 13631180 14625700 17038975 20446770 21938550 34077950 40893540 43877100 51116925 68155900 102233850 188436247 204467700 376872494 565308741 753744988 942181235 1130617482 1884362470 2261234964 2826543705 3768724940 4334033681 4710906175 5653087410 8668067362 9421812350 11306174820 13002101043 14132718525 17336134724 18843624700 21670168405 26004202086 28265437050 43340336810 52008404172 56530874100 65010505215 86680673620 108350842025 130021010430 216701684050 260042020860 325052526075 433403368100 650105052150 1300210104300