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10012000212 = 2232278111117
BaseRepresentation
bin10010101001100001…
…01111111111010100
3221211202100022022200
421110300233333110
5131001033001322
64333251524500
7503051411664
oct112460577724
927752308280
1010012000212
114278570a45
121b34bb9730
13c3732c5a6
146ad9a81a4
153d8e7d8ac
hex254c2ffd4

10012000212 has 18 divisors (see below), whose sum is σ = 25308111738. Its totient is φ = 3337333392.

The previous prime is 10012000189. The next prime is 10012000253. The reversal of 10012000212 is 21200021001.

It can be written as a sum of positive squares in only one way, i.e., 8201838096 + 1810162116 = 90564^2 + 42546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 10012000194 and 10012000203.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 139055523 + ... + 139055594.

Almost surely, 210012000212 is an apocalyptic number.

10012000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012000212 is an abundant number, since it is smaller than the sum of its proper divisors (15296111526).

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

10012000212 is a wasteful number, since it uses less digits than its factorization.

10012000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278111127 (or 278111122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012000212 its reverse (21200021001), we get a palindrome (31212021213).

The spelling of 10012000212 in words is "ten billion, twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 278111117 556222234 834333351 1112444468 1668666702 2503000053 3337333404 5006000106 10012000212