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10200021021120 = 263571517860271
BaseRepresentation
bin1001010001101110000010…
…1000010011000111000000
31100010010001000001220212210
42110123200220103013000
52314104120340133440
633405454105422120
72101633013102340
oct224334050230700
940103030056783
1010200021021120
113282893a52747
1211889ba49a940
1358cb1c927818
1427397dd22d20
1512a4d516aa80
hex946e0a131c0

10200021021120 has 112 divisors (see below), whose sum is σ = 37011504872448. Its totient is φ = 2331433374720.

The previous prime is 10200021021107. The next prime is 10200021021121. The reversal of 10200021021120 is 2112012000201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200021021096 and 10200021021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200021021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758923416 + ... + 758936855.

Almost surely, 210200021021120 is an apocalyptic number.

10200021021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200021021120 is an abundant number, since it is smaller than the sum of its proper divisors (26811483851328).

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

10200021021120 is a wasteful number, since it uses less digits than its factorization.

10200021021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517860298 (or 1517860288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200021021120 its reverse (2112012000201), we get a palindrome (12312033021321).

The spelling of 10200021021120 in words is "ten trillion, two hundred billion, twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1517860271 3035720542 4553580813 6071441084 7589301355 9107161626 10625021897 12142882168 15178602710 18214323252 21250043794 22767904065 24285764336 30357205420 31875065691 36428646504 42500087588 45535808130 48571528672 53125109485 60714410840 63750131382 72857293008 85000175176 91071616260 97143057344 106250218970 121428821680 127500262764 145714586016 159375328455 170000350352 182143232520 212500437940 242857643360 255000525528 291429172032 318750656910 340000700704 364286465040 425000875880 485715286720 510001051056 637501313820 680001401408 728572930080 850001751760 1020002102112 1275002627640 1457145860160 1700003503520 2040004204224 2550005255280 3400007007040 5100010510560 10200021021120