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11020101111200 = 2552891427108463
BaseRepresentation
bin1010000001011101000100…
…1101100100110110100000
31110000111210210102221001102
42200113101031210312200
52421023131341024300
635234321540053532
72215114243621136
oct240272115446640
943014723387042
1011020101111200
113569664869305
12129b9296942a8
1361c263a411ac
142a153905b756
151419d12490d5
hexa05d1364da0

11020101111200 has 144 divisors (see below), whose sum is σ = 27224416275840. Its totient is φ = 4355417425920.

The previous prime is 11020101111143. The next prime is 11020101111319. The reversal of 11020101111200 is 211110102011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101548169 + ... + 101656631.

It is an arithmetic number, because the mean of its divisors is an integer number (189058446360).

Almost surely, 211020101111200 is an apocalyptic number.

11020101111200 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 11020101111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612208137920).

11020101111200 is an abundant number, since it is smaller than the sum of its proper divisors (16204315164640).

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

11020101111200 is a wasteful number, since it uses less digits than its factorization.

11020101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109999 (or 109986 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11020101111200 its reverse (211110102011), we get a palindrome (11231211213211).

The spelling of 11020101111200 in words is "eleven trillion, twenty billion, one hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1427 1780 2225 2848 2854 3560 4450 5708 7120 7135 8900 11416 14240 14270 17800 22832 28540 35600 35675 45664 57080 71200 71350 108463 114160 127003 142700 216926 228320 254006 285400 433852 508012 542315 570800 635015 867704 1016024 1084630 1141600 1270030 1735408 2032048 2169260 2540060 2711575 3175075 3470816 4064096 4338520 5080120 5423150 6350150 8677040 9653207 10160240 10846300 12700300 17354080 19306414 20320480 21692600 25400600 38612828 43385200 48266035 50801200 77225656 86770400 96532070 101602400 154451312 154776701 193064140 241330175 308902624 309553402 386128280 482660350 619106804 772256560 773883505 965320700 1238213608 1544513120 1547767010 1930641400 2476427216 3095534020 3861282800 3869417525 4952854432 6191068040 7722565600 7738835050 12382136080 13775126389 15477670100 24764272160 27550252778 30955340200 55100505556 61910680400 68875631945 110201011112 123821360800 137751263890 220402022224 275502527780 344378159725 440804044448 551005055560 688756319450 1102010111120 1377512638900 2204020222240 2755025277800 5510050555600 11020101111200