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11050101100056 = 23319103653360289
BaseRepresentation
bin1010000011001100110101…
…0110011100111000011000
31110010101020112201021010210
42200303031112130320120
52422021101340200211
635300202452011120
72220225543412404
oct240631526347030
943111215637123
1011050101100056
113580359aa4a27
1212a5700600aa0
136220351011a5
142a2b834a2104
15142689d6e9a6
hexa0ccd59ce18

11050101100056 has 128 divisors (see below), whose sum is σ = 29406581568000. Its totient is φ = 3450325413888.

The previous prime is 11050101100039. The next prime is 11050101100067. The reversal of 11050101100056 is 65000110105011.

It is a happy number.

It is a congruent number.

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, 30489960 + ... + 30850248.

It is an arithmetic number, because the mean of its divisors is an integer number (229738918500).

Almost surely, 211050101100056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050101100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703290784000).

11050101100056 is an abundant number, since it is smaller than the sum of its proper divisors (18356480467944).

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

11050101100056 is a wasteful number, since it uses less digits than its factorization.

11050101100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361073 (or 361069 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 11050101100056 its reverse (65000110105011), we get a palindrome (76050211205067).

The spelling of 11050101100056 in words is "eleven trillion, fifty billion, one hundred one million, one hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 206 228 309 412 456 618 653 824 1236 1306 1957 1959 2472 2612 3914 3918 5224 5871 7828 7836 11742 12407 15656 15672 23484 24814 37221 46968 49628 67259 74442 99256 134518 148884 201777 269036 297768 360289 403554 538072 720578 807108 1080867 1277921 1441156 1614216 2161734 2555842 2882312 3833763 4323468 5111684 6845491 7667526 8646936 10223368 13690982 15335052 20536473 27381964 30670104 37109767 41072946 54763928 74219534 82145892 111329301 148439068 164291784 222658602 235268717 296878136 445317204 470537434 705085573 705806151 890634408 941074868 1410171146 1411612302 1882149736 2115256719 2820342292 2823224604 4230513438 4470105623 5640684584 5646449208 8461026876 8940211246 13410316869 16922053752 17880422492 24232677851 26820633738 35760844984 48465355702 53641267476 72698033553 96930711404 107282534952 145396067106 193861422808 290792134212 460420879169 581584268424 920841758338 1381262637507 1841683516676 2762525275014 3683367033352 5525050550028 11050101100056