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1217012180 = 225286121269
BaseRepresentation
bin100100010001010…
…0010000111010100
310010211000121212012
41020202202013110
54443023342210
6320432443352
742105301316
oct11042420724
93124017765
101217012180
11574a7629a
1229b6a9558
1316519c967
14b78bb7b6
1571c9b305
hex488a21d4

1217012180 has 24 divisors (see below), whose sum is σ = 2556739080. Its totient is φ = 486611840.

The previous prime is 1217012131. The next prime is 1217012189. The reversal of 1217012180 is 812107121.

It can be written as a sum of positive squares in 4 ways, for example, as 179399236 + 1037612944 = 13394^2 + 32212^2 .

It is a super-2 number, since 2×12170121802 = 2962237292536704800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217012189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46586 + ... + 67854.

It is an arithmetic number, because the mean of its divisors is an integer number (106530795).

Almost surely, 21217012180 is an apocalyptic number.

1217012180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1217012180 is an abundant number, since it is smaller than the sum of its proper divisors (1339726900).

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

1217012180 is a wasteful number, since it uses less digits than its factorization.

1217012180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24139 (or 24137 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 23.

The square root of 1217012180 is about 34885.7016555494. The cubic root of 1217012180 is about 1067.6567289767.

The spelling of 1217012180 in words is "one billion, two hundred seventeen million, twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 2861 5722 11444 14305 21269 28610 42538 57220 85076 106345 212690 425380 60850609 121701218 243402436 304253045 608506090 1217012180