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5505221352100 = 2252971016598527
BaseRepresentation
bin101000000011100100011…
…0000110101101010100100
3201111021221100020000012211
41100013020300311222210
51210144143131231400
615413021435253204
71105511342253421
oct120071060655244
921437840200184
105505221352100
111832829a29088
1274ab475aa204
1330c1a8b928a2
1415065020ad48
159830b931dba
hex501c8c35aa4

5505221352100 has 144 divisors (see below), whose sum is σ = 12208916079360. Its totient is φ = 2154281472000.

The previous prime is 5505221352053. The next prime is 5505221352167. The reversal of 5505221352100 is 12531225055.

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, 645618037 + ... + 645626563.

It is an arithmetic number, because the mean of its divisors is an integer number (84784139440).

Almost surely, 25505221352100 is an apocalyptic number.

5505221352100 is a gapful number since it is divisible by the number (50) 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 5505221352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104458039680).

5505221352100 is an abundant number, since it is smaller than the sum of its proper divisors (6703694727260).

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

5505221352100 is a wasteful number, since it uses less digits than its factorization.

5505221352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 5505221352100 its reverse (12531225055), we get a palindrome (5517752577155).

The spelling of 5505221352100 in words is "five trillion, five hundred five billion, two hundred twenty-one million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 101 194 202 388 404 485 505 659 970 1010 1318 1940 2020 2425 2525 2636 3295 4850 5050 6590 8527 9700 9797 10100 13180 16475 17054 19594 32950 34108 39188 42635 48985 63923 65900 66559 85270 97970 127846 133118 170540 195940 213175 244925 255692 266236 319615 332795 426350 489850 639230 665590 827119 852700 861227 979700 1278460 1331180 1598075 1654238 1663975 1722454 3196150 3308476 3327950 3444908 4135595 4306135 5619293 6392300 6456223 6655900 8271190 8612270 11238586 12912446 16542380 17224540 20677975 21530675 22477172 25824892 28096465 32281115 41355950 43061350 56192930 64562230 82711900 83539019 86122700 112385860 129124460 140482325 161405575 167078038 280964650 322811150 334156076 417695095 545071421 561929300 567548593 645622300 835390190 1090142842 1135097186 1670780380 2088475475 2180285684 2270194372 2725357105 2837742965 4176950950 5450714210 5675485930 8353901900 10901428420 11350971860 13626785525 14188714825 27253571050 28377429650 54507142100 55052213521 56754859300 110104427042 220208854084 275261067605 550522135210 1101044270420 1376305338025 2752610676050 5505221352100