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312213000000 = 26356119461
BaseRepresentation
bin1001000101100010101…
…10000100111101000000
31002211212122211201011110
410202301112010331000
520103403012000000
6355232332043320
731361633466336
oct4426126047500
91084778751143
10312213000000
1111045510aa30
1250613603540
132359814c925
141117b167b56
1581c49a5850
hex48b1584f40

312213000000 has 392 divisors, whose sum is σ = 1126554954912. Its totient is φ = 75680000000.

The previous prime is 312212999953. The next prime is 312213000019. The reversal of 312213000000 is 312213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 312213000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32995270 + ... + 33004730.

Almost surely, 2312213000000 is an apocalyptic number.

312213000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563277477456).

312213000000 is an abundant number, since it is smaller than the sum of its proper divisors (814341954912).

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

312213000000 is an frugal number, since it uses more digits than its factorization.

312213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312213000000 its reverse (312213), we get a palindrome (312213312213).

312213000000 divided by its reverse (312213) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 312 and 213000000, that added together give a palindrome (213000312).

The spelling of 312213000000 in words is "three hundred twelve billion, two hundred thirteen million", and thus it is an aban number.