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101281338 = 2325626741
BaseRepresentation
bin1100000100101…
…10111000111010
321001120121212200
412002112320322
5201412000323
614014451030
72336606604
oct602267072
9231517780
10101281338
1152197194
1229b03a76
1317ca1ab2
14d646174
158d59443
hex6096e3a

101281338 has 12 divisors (see below), whose sum is σ = 219442938. Its totient is φ = 33760440.

The previous prime is 101281337. The next prime is 101281339. The reversal of 101281338 is 833182101.

It is an interprime number because it is at equal distance from previous prime (101281337) and next prime (101281339).

It can be written as a sum of positive squares in only one way, i.e., 69505569 + 31775769 = 8337^2 + 5637^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101281337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2813353 + ... + 2813388.

Almost surely, 2101281338 is an apocalyptic number.

101281338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101281338 is an abundant number, since it is smaller than the sum of its proper divisors (118161600).

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

101281338 is a wasteful number, since it uses less digits than its factorization.

101281338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626749 (or 5626746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101281338 is about 10063.8629760147. The cubic root of 101281338 is about 466.1329570821.

The spelling of 101281338 in words is "one hundred one million, two hundred eighty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 5626741 11253482 16880223 33760446 50640669 101281338