Search a number
-
+
1353322501300 = 2252711712475439
BaseRepresentation
bin10011101100011000010…
…011101001010010110100
311210101011101001011210201
4103230120103221102310
5134133101030020200
62513412513530244
7166526410314010
oct23543023512264
94711141034721
101353322501300
11481a392a8690
1219a348b73984
139a8052c7263
1449703271540
152530a314c6a
hex13b184e94b4

1353322501300 has 144 divisors (see below), whose sum is σ = 3712922357760. Its totient is φ = 415873584000.

The previous prime is 1353322501277. The next prime is 1353322501343. The reversal of 1353322501300 is 31052233531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691020 + ... + 1784419.

It is an arithmetic number, because the mean of its divisors is an integer number (25784183040).

Almost surely, 21353322501300 is an apocalyptic number.

1353322501300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353322501300 is an abundant number, since it is smaller than the sum of its proper divisors (2359599856460).

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

1353322501300 is a wasteful number, since it uses less digits than its factorization.

1353322501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475542 (or 2475535 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 1353322501300 its reverse (31052233531), we get a palindrome (1384374734831).

The spelling of 1353322501300 in words is "one trillion, three hundred fifty-three billion, three hundred twenty-two million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 71 77 100 110 140 142 154 175 220 275 284 308 350 355 385 497 550 700 710 770 781 994 1100 1420 1540 1562 1775 1925 1988 2485 3124 3550 3850 3905 4970 5467 7100 7700 7810 9940 10934 12425 15620 19525 21868 24850 27335 39050 49700 54670 78100 109340 136675 273350 546700 2475439 4950878 9901756 12377195 17328073 24754390 27229829 34656146 49508780 54459658 61885975 69312292 86640365 108919316 123771950 136149145 173280730 175756169 190608803 247543900 272298290 346561460 351512338 381217606 433201825 544596580 680745725 703024676 762435212 866403650 878780845 953044015 1230293183 1361491450 1732807300 1757561690 1906088030 1933317859 2460586366 2722982900 3515123380 3812176060 3866635718 4393904225 4765220075 4921172732 6151465915 7733271436 8787808450 9530440150 9666589295 12302931830 13533225013 17575616900 19060880300 19333178590 24605863660 27066450026 30757329575 38666357180 48332946475 54132900052 61514659150 67666125065 96665892950 123029318300 135332250130 193331785900 270664500260 338330625325 676661250650 1353322501300