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10200421214433 = 32127337112323581
BaseRepresentation
bin1001010001101111100001…
…1110111010100011100001
31100010011001220002211220100
42110123320132322203201
52314110430312330213
633410001523133013
72101645642510602
oct224337036724341
940104056084810
1010200421214433
113282a7993a91a
121188ab0514169
1358cb848060b8
142739bb137da9
1512a50a36b773
hex946f87ba8e1

10200421214433 has 48 divisors (see below), whose sum is σ = 14907917080576. Its totient is φ = 6720440348160.

The previous prime is 10200421214419. The next prime is 10200421214447. The reversal of 10200421214433 is 33441212400201.

10200421214433 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 4 + 212 + 1 + 443 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10200421214419) and next prime (10200421214447).

It is not a de Polignac number, because 10200421214433 - 212 = 10200421210337 is a prime.

It is a super-2 number, since 2×102004212144332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200421214397 and 10200421214406.

It is not an unprimeable number, because it can be changed into a prime (10200421214233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432557703 + ... + 432581283.

Almost surely, 210200421214433 is an apocalyptic number.

It is an amenable number.

10200421214433 is a deficient number, since it is larger than the sum of its proper divisors (4707495866143).

10200421214433 is a wasteful number, since it uses less digits than its factorization.

10200421214433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25174 (or 25171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10200421214433 its reverse (33441212400201), we get a palindrome (43641633614634).

The spelling of 10200421214433 in words is "ten trillion, two hundred billion, four hundred twenty-one million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 127 337 381 1011 1123 1143 3033 3369 10107 23581 42799 70743 128397 142621 212229 378451 385191 427863 1135353 1283589 2994787 3406059 7946797 8984361 23840391 26481463 26953083 48063277 71521173 79444389 144189831 238333167 432569493 1009243219 3027729657 3363145801 8924253031 9083188971 10089437403 26772759093 30268312209 80318277279 1133380134937 3400140404811 10200421214433