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10010212120 = 2351282919507
BaseRepresentation
bin10010101001010011…
…11011011100011000
3221211121222110112001
421110221323130120
5131000103241440
64333145330344
7503030253616
oct112451733430
927747873461
1010010212120
11427755a587
121b344969b4
13c36b5474c
146ad6606b6
153d8c28b9a
hex254a7b718

10010212120 has 32 divisors (see below), whose sum is σ = 22525887600. Its totient is φ = 4003567488.

The previous prime is 10010212103. The next prime is 10010212129. The reversal of 10010212120 is 2121201001.

10010212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010212097 and 10010212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503407 + ... + 522913.

Almost surely, 210010212120 is an apocalyptic number.

10010212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010212120 is an abundant number, since it is smaller than the sum of its proper divisors (12515675480).

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

10010212120 is a wasteful number, since it uses less digits than its factorization.

10010212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32347 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010212120 its reverse (2121201001), we get a palindrome (12131413121).

The spelling of 10010212120 in words is "ten billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12829 19507 25658 39014 51316 64145 78028 97535 102632 128290 156056 195070 256580 390140 513160 780280 250255303 500510606 1001021212 1251276515 2002042424 2502553030 5005106060 10010212120