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11020220211120 = 24352811066715319
BaseRepresentation
bin1010000001011101100001…
…0011111001111110110000
31110000112010002112211102120
42200113120103321332300
52421023402333223440
635234341432514240
72215120221143211
oct240273023717660
943015102484376
1011020220211120
11356971601589a
12129b96154b980
1361c282611513
142a154abc1408
151419db922dd0
hexa05d84f9fb0

11020220211120 has 160 divisors (see below), whose sum is σ = 34289710318080. Its totient is φ = 2927801640960.

The previous prime is 11020220211109. The next prime is 11020220211149. The reversal of 11020220211120 is 2111202202011.

11020220211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11020220211120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719374821 + ... + 719390139.

It is an arithmetic number, because the mean of its divisors is an integer number (214310689488).

Almost surely, 211020220211120 is an apocalyptic number.

11020220211120 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 11020220211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144855159040).

11020220211120 is an abundant number, since it is smaller than the sum of its proper divisors (23269490106960).

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

11020220211120 is a wasteful number, since it uses less digits than its factorization.

11020220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26283 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11020220211120 its reverse (2111202202011), we get a palindrome (13131422413131).

The spelling of 11020220211120 in words is "eleven trillion, twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 10667 11240 13488 15319 16860 21334 22480 30638 32001 33720 42668 45957 53335 61276 64002 67440 76595 85336 91914 106670 122552 128004 153190 160005 170672 183828 213340 229785 245104 256008 306380 320010 367656 426680 459570 512016 612760 640020 735312 853360 919140 1225520 1280040 1838280 2560080 2997427 3676560 4304639 5994854 8609278 8992281 11989708 12913917 14987135 17218556 17984562 21523195 23979416 25827834 29974270 34437112 35969124 43046390 44961405 47958832 51655668 59948540 64569585 68874224 71938248 86092780 89922810 103311336 119897080 129139170 143876496 163407773 172185560 179845620 206622672 239794160 258278340 326815546 344371120 359691240 490223319 516556680 653631092 719382480 817038865 980446638 1033113360 1307262184 1634077730 1960893276 2451116595 2614524368 3268155460 3921786552 4902233190 6536310920 7843573104 9804466380 13072621840 19608932760 39217865520 45917584213 91835168426 137752752639 183670336852 229587921065 275505505278 367340673704 459175842130 551011010556 688763763195 734681347408 918351684260 1102022021112 1377527526390 1836703368520 2204044042224 2755055052780 3673406737040 5510110105560 11020220211120