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213121872 = 24321480013
BaseRepresentation
bin11001011001111…
…11101101010000
3112212000201020200
430230333231100
5414024344442
633051535200
75165335365
oct1454775520
9485021220
10213121872
11aa335687
125b45a500
13351ccb22
142043a46c
1513a9c34c
hexcb3fb50

213121872 has 30 divisors (see below), whose sum is σ = 596445642. Its totient is φ = 71040576.

The previous prime is 213121871. The next prime is 213121873. The reversal of 213121872 is 278121312.

It is an interprime number because it is at equal distance from previous prime (213121871) and next prime (213121873).

It can be written as a sum of positive squares in only one way, i.e., 179667216 + 33454656 = 13404^2 + 5784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739863 + ... + 740150.

Almost surely, 2213121872 is an apocalyptic number.

It is an amenable number.

213121872 is an abundant number, since it is smaller than the sum of its proper divisors (383323770).

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

213121872 is a wasteful number, since it uses less digits than its factorization.

213121872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480027 (or 1480018 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 213121872 is about 14598.6941881800. The cubic root of 213121872 is about 597.3231418108.

The spelling of 213121872 in words is "two hundred thirteen million, one hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1480013 2960026 4440039 5920052 8880078 11840104 13320117 17760156 23680208 26640234 35520312 53280468 71040624 106560936 213121872