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312200010 = 23253468889
BaseRepresentation
bin10010100110111…
…100101101001010
3210202110101220100
4102212330231022
51114410400020
650551310230
710510441053
oct2246745512
9722411810
10312200010
11150257541
128867b376
134c8acb45
142d66b72a
151c61da90
hex129bcb4a

312200010 has 24 divisors (see below), whose sum is σ = 811720260. Its totient is φ = 83253312.

The previous prime is 312200003. The next prime is 312200017. The reversal of 312200010 is 10002213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312200003) and next prime (312200017).

It can be written as a sum of positive squares in 2 ways, for example, as 302446881 + 9753129 = 17391^2 + 3123^2 .

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 = 312199965 and 312200001.

It is not an unprimeable number, because it can be changed into a prime (312200017) 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, 1734355 + ... + 1734534.

Almost surely, 2312200010 is an apocalyptic number.

312200010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312200010 is an abundant number, since it is smaller than the sum of its proper divisors (499520250).

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

312200010 is a wasteful number, since it uses less digits than its factorization.

312200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468902 (or 3468899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312200010 is about 17669.1824938224. The cubic root of 312200010 is about 678.3871884563.

Adding to 312200010 its reverse (10002213), we get a palindrome (322202223).

The spelling of 312200010 in words is "three hundred twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3468889 6937778 10406667 17344445 20813334 31220001 34688890 52033335 62440002 104066670 156100005 312200010