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1053210922800 = 243521994410431
BaseRepresentation
bin11110101001110000100…
…00110100111100110000
310201200112002011101010120
433110320100310330300
5114223433444012200
62123501033130240
7136043356063521
oct17247020647460
93650462141116
101053210922800
11376734121853
12150152259980
137841832c98a
1438d933a6848
151c5e2e659a0
hexf538434f30

1053210922800 has 120 divisors (see below), whose sum is σ = 3390740121600. Its totient is φ = 279444844800.

The previous prime is 1053210922793. The next prime is 1053210922817. The reversal of 1053210922800 is 82290123501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10532109228002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966416 + ... + 2444015.

It is an arithmetic number, because the mean of its divisors is an integer number (28256167680).

Almost surely, 21053210922800 is an apocalyptic number.

1053210922800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053210922800 is an abundant number, since it is smaller than the sum of its proper divisors (2337529198800).

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

1053210922800 is a wasteful number, since it uses less digits than its factorization.

1053210922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410651 (or 4410640 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1053210922800 in words is "one trillion, fifty-three billion, two hundred ten million, nine hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 14925 15920 19900 23880 29850 39800 47760 59700 79600 119400 238800 4410431 8820862 13231293 17641724 22052155 26462586 35283448 44104310 52925172 66156465 70566896 88208620 105850344 110260775 132312930 176417240 211700688 220521550 264625860 330782325 352834480 441043100 529251720 661564650 877675769 882086200 1058503440 1323129300 1755351538 1764172400 2633027307 2646258600 3510703076 4388378845 5266054614 5292517200 7021406152 8776757690 10532109228 13165136535 14042812304 17553515380 21064218456 21941894225 26330273070 35107030760 42128436912 43883788450 52660546140 65825682675 70214061520 87767576900 105321092280 131651365350 175535153800 210642184560 263302730700 351070307600 526605461400 1053210922800