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11020101221120 = 285127149454973
BaseRepresentation
bin1010000001011101000100…
…1101111111101100000000
31110000111210210122111211112
42200113101031333230000
52421023131403033440
635234321542302452
72215114244556455
oct240272115775400
943014723574745
1011020101221120
113569664933952
12129b929727a28
1361c263a7c234
142a153908982c
151419d126b965
hexa05d137fb00

11020101221120 has 144 divisors (see below), whose sum is σ = 26783045452800. Its totient is φ = 4343970742272.

The previous prime is 11020101221119. The next prime is 11020101221131. The reversal of 11020101221120 is 2112210102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020101221095 and 11020101221104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23993954 + ... + 24448926.

It is an arithmetic number, because the mean of its divisors is an integer number (185993371200).

Almost surely, 211020101221120 is an apocalyptic number.

11020101221120 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 11020101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391522726400).

11020101221120 is an abundant number, since it is smaller than the sum of its proper divisors (15762944231680).

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

11020101221120 is a wasteful number, since it uses less digits than its factorization.

11020101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455270 (or 455256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11020101221120 its reverse (2112210102011), we get a palindrome (13132311323131).

The spelling of 11020101221120 in words is "eleven trillion, twenty billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 149 160 254 256 298 320 508 596 635 640 745 1016 1192 1270 1280 1490 2032 2384 2540 2980 4064 4768 5080 5960 8128 9536 10160 11920 16256 18923 19072 20320 23840 32512 37846 38144 40640 47680 75692 81280 94615 95360 151384 162560 189230 190720 302768 378460 454973 605536 756920 909946 1211072 1513840 1819892 2274865 2422144 3027680 3639784 4549730 4844288 6055360 7279568 9099460 12110720 14559136 18198920 24221440 29118272 36397840 57781571 58236544 67790977 72795680 115563142 116473088 135581954 145591360 231126284 271163908 288907855 291182720 338954885 462252568 542327816 577815710 582365440 677909770 924505136 1084655632 1155631420 1355819540 1849010272 2169311264 2311262840 2711639080 3698020544 4338622528 4622525680 5423278160 7396041088 8609454079 8677245056 9245051360 10846556320 14792082176 17218908158 17354490112 18490102720 21693112640 34437816316 36980205440 43047270395 43386225280 68875632632 73960410880 86094540790 86772450560 137751265264 172189081580 275502530528 344378163160 551005061056 688756326320 1102010122112 1377512652640 2204020244224 2755025305280 5510050610560 11020101221120