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55110224021200 = 24521720893879581
BaseRepresentation
bin11001000011111010110010…
…10100111000011011010000
321020010111010021012211020121
430201331121110320123100
524210411214322134300
6313113142025120024
714415403504045615
oct1441753124703320
9236114107184217
1055110224021200
1116618129815147
126220892629014
132499b4452bc5a
14d874c5c0a50c
15658823e7a81a
hex321f595386d0

55110224021200 has 120 divisors (see below), whose sum is σ = 140257829721240. Its totient is φ = 20737441382400.

The previous prime is 55110224021197. The next prime is 55110224021231. The reversal of 55110224021200 is 212042201155.

It can be written as a sum of positive squares in 12 ways, for example, as 5316934999104 + 49793289022096 = 2305848^2 + 7056436^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 12265410 + ... + 16144990.

It is an arithmetic number, because the mean of its divisors is an integer number (1168815247677).

Almost surely, 255110224021200 is an apocalyptic number.

55110224021200 is a gapful number since it is divisible by the number (50) 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 55110224021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70128914860620).

55110224021200 is an abundant number, since it is smaller than the sum of its proper divisors (85147605700040).

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

55110224021200 is a wasteful number, since it uses less digits than its factorization.

55110224021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881705 (or 3881694 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 55110224021200 its reverse (212042201155), we get a palindrome (55322266222355).

The spelling of 55110224021200 in words is "fifty-five trillion, one hundred ten billion, two hundred twenty-four million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 2089 3400 4178 6800 8356 10445 16712 20890 33424 35513 41780 52225 71026 83560 104450 142052 167120 177565 208900 284104 355130 417800 568208 710260 835600 887825 1420520 1775650 2841040 3551300 3879581 7102600 7759162 14205200 15518324 19397905 31036648 38795810 62073296 65952877 77591620 96989525 131905754 155183240 193979050 263811508 310366480 329764385 387958100 527623016 659528770 775916200 1055246032 1319057540 1551832400 1648821925 2638115080 3297643850 5276230160 6595287700 8104444709 13190575400 16208889418 26381150800 32417778836 40522223545 64835557672 81044447090 129671115344 137775560053 162088894180 202611117725 275551120106 324177788360 405222235450 551102240212 648355576720 688877800265 810444470900 1102204480424 1377755600530 1620888941800 2204408960848 2755511201060 3241777883600 3444389001325 5511022402120 6888778002650 11022044804240 13777556005300 27555112010600 55110224021200