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10010211012 = 22363432857
BaseRepresentation
bin10010101001010011…
…11011001011000100
3221211121222102000000
421110221323023010
5131000103223022
64333145321300
7503030250444
oct112451731304
927747872000
1010010211012
11427755976a
121b34496230
13c36b540a9
146ad660124
153d8c286ac
hex254a7b2c4

10010211012 has 42 divisors (see below), whose sum is σ = 26264796558. Its totient is φ = 3336736032.

The previous prime is 10010210953. The next prime is 10010211019. The reversal of 10010211012 is 21011201001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9754722756 + 255488256 = 98766^2 + 15984^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010210985 and 10010211003.

It is not an unprimeable number, because it can be changed into a prime (10010211019) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1713513 + ... + 1719344.

It is an arithmetic number, because the mean of its divisors is an integer number (625352299).

Almost surely, 210010211012 is an apocalyptic number.

10010211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010211012 is an abundant number, since it is smaller than the sum of its proper divisors (16254585546).

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

10010211012 is an equidigital number, since it uses as much as digits as its factorization.

10010211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432879 (or 3432862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010211012 its reverse (21011201001), we get a palindrome (31021412013).

The spelling of 10010211012 in words is "ten billion, ten million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3432857 6865714 10298571 13731428 20597142 30895713 41194284 61791426 92687139 123582852 185374278 278061417 370748556 556122834 834184251 1112245668 1668368502 2502552753 3336737004 5005105506 10010211012