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11366422054100 = 2252737092196113
BaseRepresentation
bin1010010101100111001110…
…0011001000010011010100
31111020121201111101122212022
42211121303203020103110
52442211413021212400
640101355011512312
72252124351226331
oct245316343102324
944217644348768
1011366422054100
113692521a225a3
121336a7b8b8698
13645b0633c549
142b41d0041988
1514aa002c1b85
hexa56738c84d4

11366422054100 has 72 divisors (see below), whose sum is σ = 25038291014520. Its totient is φ = 4477960212480.

The previous prime is 11366422054079. The next prime is 11366422054103. The reversal of 11366422054100 is 145022466311.

It can be written as a sum of positive squares in 12 ways, for example, as 6502112405776 + 4864309648324 = 2549924^2 + 2205518^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366422054103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4077644 + ... + 6273756.

Almost surely, 211366422054100 is an apocalyptic number.

11366422054100 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 11366422054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519145507260).

11366422054100 is an abundant number, since it is smaller than the sum of its proper divisors (13671868960420).

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

11366422054100 is a wasteful number, since it uses less digits than its factorization.

11366422054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196909 (or 2196902 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 11366422054100 in words is "eleven trillion, three hundred sixty-six billion, four hundred twenty-two million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 709 730 1418 1460 1825 2836 3545 3650 7090 7300 14180 17725 35450 51757 70900 103514 207028 258785 517570 1035140 1293925 2196113 2587850 4392226 5175700 8784452 10980565 21961130 43922260 54902825 109805650 160316249 219611300 320632498 641264996 801581245 1557044117 1603162490 3114088234 3206324980 4007906225 6228176468 7785220585 8015812450 15570441170 16031624900 31140882340 38926102925 77852205850 113664220541 155704411700 227328441082 454656882164 568321102705 1136642205410 2273284410820 2841605513525 5683211027050 11366422054100