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1012000212 = 223241685637
BaseRepresentation
bin111100010100011…
…110010111010100
32121112020221022100
4330110132113110
54033033001322
6244230402100
734035600636
oct7424362724
92545227270
101012000212
1147a27a813
12242b00330
1313187c2c2
1498592a56
155dca1dac
hex3c51e5d4

1012000212 has 36 divisors (see below), whose sum is σ = 2620508436. Its totient is φ = 329105280.

The previous prime is 1012000201. The next prime is 1012000219. The reversal of 1012000212 is 2120002101.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 936727236 = 8676^2 + 30606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1012000194 and 1012000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341343 + ... + 344294.

It is an arithmetic number, because the mean of its divisors is an integer number (72791901).

Almost surely, 21012000212 is an apocalyptic number.

1012000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012000212 is an abundant number, since it is smaller than the sum of its proper divisors (1608508224).

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

1012000212 is a wasteful number, since it uses less digits than its factorization.

1012000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685688 (or 685683 counting only the distinct ones).

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

The square root of 1012000212 is about 31811.9507732550. The cubic root of 1012000212 is about 1003.9841759277.

Adding to 1012000212 its reverse (2120002101), we get a palindrome (3132002313).

The spelling of 1012000212 in words is "one billion, twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 685637 1371274 2056911 2742548 4113822 6170733 8227644 12341466 24682932 28111117 56222234 84333351 112444468 168666702 253000053 337333404 506000106 1012000212