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11331020201235 = 3573123929349711
BaseRepresentation
bin1010010011100011010101…
…1011110001110100010011
31111010020100021120012102120
42210320311123301310103
52441121412132414420
640033222051145323
72246432146363320
oct244706533616423
944106307505376
1011331020201235
113679505560559
12133003b8a5243
13642683aa8b07
142b25d240bb47
15149b2c313d40
hexa4e356f1d13

11331020201235 has 128 divisors (see below), whose sum is σ = 21551178055680. Its totient is φ = 4974690470400.

The previous prime is 11331020201231. The next prime is 11331020201279. The reversal of 11331020201235 is 53210202013311.

It is a happy number.

It is not a de Polignac number, because 11331020201235 - 22 = 11331020201231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331020201231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227913030 + ... + 227962740.

It is an arithmetic number, because the mean of its divisors is an integer number (168368578560).

Almost surely, 211331020201235 is an apocalyptic number.

11331020201235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11331020201235 is a deficient number, since it is larger than the sum of its proper divisors (10220157854445).

11331020201235 is a wasteful number, since it uses less digits than its factorization.

11331020201235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50289.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11331020201235 its reverse (53210202013311), we get a palindrome (64541222214546).

The spelling of 11331020201235 in words is "eleven trillion, three hundred thirty-one billion, twenty million, two hundred one thousand, two hundred thirty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 239 293 465 651 717 879 1085 1195 1465 1673 2051 3255 3585 4395 5019 6153 7409 8365 9083 10255 22227 25095 27249 30765 37045 45415 49711 51863 63581 70027 111135 136245 149133 155589 190743 210081 248555 259315 317905 347977 350135 490189 745665 777945 953715 1043931 1050405 1470567 1541041 1739885 2170837 2450945 4623123 5219655 6512511 7352835 7705205 10787287 10854185 11880929 14565323 15195859 23115615 32361861 32562555 35642787 43695969 45587577 53936435 59404645 72826615 75979295 83166503 101957261 161809305 178213935 218479845 227937885 249499509 305871783 368308799 415832515 451525013 509786305 1104926397 1247497545 1354575039 1529358915 1841543995 2257625065 2578161593 3160675091 3481112197 5524631985 6772875195 7734484779 9482025273 10443336591 12890807965 15803375455 17405560985 24367785379 38672423895 47410126365 52216682955 73103356137 107914478107 121838926895 323743434321 365516780685 539572390535 755401346749 1618717171605 2266204040247 3777006733745 11331020201235