Search a number
-
+
1230244200100 = 2252417113132261
BaseRepresentation
bin10001111001110000010…
…001001011111010100100
311100121110211111122220201
4101321300101023322210
5130124020003400400
62341055534440244
7154611412106356
oct21716021137244
94317424448821
101230244200100
1143481a862293
1217a51a363084
138c01c4415b6
144378917d0d6
1522004ea006a
hex11e7044bea4

1230244200100 has 144 divisors (see below), whose sum is σ = 2794516889472. Its totient is φ = 469705600000.

The previous prime is 1230244200091. The next prime is 1230244200103. The reversal of 1230244200100 is 10024420321.

It is not an unprimeable number, because it can be changed into a prime (1230244200103) by changing a digit.

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, 38117970 + ... + 38150230.

It is an arithmetic number, because the mean of its divisors is an integer number (19406367288).

Almost surely, 21230244200100 is an apocalyptic number.

1230244200100 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 1230244200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397258444736).

1230244200100 is an abundant number, since it is smaller than the sum of its proper divisors (1564272689372).

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

1230244200100 is a wasteful number, since it uses less digits than its factorization.

1230244200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518 (or 32511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1230244200100 its reverse (10024420321), we get a palindrome (1240268620421).

The spelling of 1230244200100 in words is "one trillion, two hundred thirty billion, two hundred forty-four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 131 142 164 205 262 284 355 410 524 655 710 820 1025 1310 1420 1775 2050 2620 2911 3275 3550 4100 5371 5822 6550 7100 9301 10742 11644 13100 14555 18602 21484 26855 29110 32261 37204 46505 53710 58220 64522 72775 93010 107420 129044 134275 145550 161305 186020 232525 268550 291100 322610 381341 465050 537100 645220 762682 806525 930100 1322701 1525364 1613050 1906705 2290531 2645402 3226100 3813410 4226191 4581062 5290804 6613505 7626820 8452382 9162124 9533525 11452655 13227010 16904764 19067050 21130955 22905310 26454020 33067525 38134100 42261910 45810620 57263275 66135050 84523820 93911771 105654775 114526550 132270100 173273831 187823542 211309550 229053100 300059561 346547662 375647084 422619100 469558855 600119122 693095324 866369155 939117710 1200238244 1500297805 1732738310 1878235420 2347794275 3000595610 3465476620 4331845775 4695588550 6001191220 7501489025 8663691550 9391177100 12302442001 15002978050 17327383100 24604884002 30005956100 49209768004 61512210005 123024420010 246048840020 307561050025 615122100050 1230244200100