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213041280 = 27351761107
BaseRepresentation
bin11001011001011…
…00000010000000
3112211212121200210
430230230002000
5414014310110
633050114120
75164551414
oct1454540200
9484777623
10213041280
11aa290081
125b41b940
13351a223a
1420418d44
1513a83520
hexcb2c080

213041280 has 256 divisors, whose sum is σ = 737631360. Its totient is φ = 52101120.

The previous prime is 213041267. The next prime is 213041293. The reversal of 213041280 is 82140312.

It is an interprime number because it is at equal distance from previous prime (213041267) and next prime (213041293).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1990987 + ... + 1991093.

Almost surely, 2213041280 is an apocalyptic number.

213041280 is a gapful number since it is divisible by the number (20) 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 213041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368815680).

213041280 is an abundant number, since it is smaller than the sum of its proper divisors (524590080).

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

213041280 is a wasteful number, since it uses less digits than its factorization.

213041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 213041280 is about 14595.9336803097. The cubic root of 213041280 is about 597.2478397697.

Adding to 213041280 its reverse (82140312), we get a palindrome (295181592).

The spelling of 213041280 in words is "two hundred thirteen million, forty-one thousand, two hundred eighty".