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101313102 = 231110914083
BaseRepresentation
bin1100000100111…
…10101001001110
321001122020110010
412002132221032
5201414004402
614015254050
72340101322
oct602365116
9231566403
10101313102
1152209040
1229b1a326
1317cb33a7
14d653982
158d63a6c
hex609ea4e

101313102 has 32 divisors (see below), whose sum is σ = 223090560. Its totient is φ = 30417120.

The previous prime is 101313097. The next prime is 101313103. The reversal of 101313102 is 201313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313103) 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 15 ways as a sum of consecutive naturals, for example, 153 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (6971580).

Almost surely, 2101313102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111545280).

101313102 is an abundant number, since it is smaller than the sum of its proper divisors (121777458).

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

101313102 is a wasteful number, since it uses less digits than its factorization.

101313102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101313102 is about 10065.4409739464. The cubic root of 101313102 is about 466.1816817533.

Adding to 101313102 its reverse (201313101), we get a palindrome (302626203).

Subtracting 101313102 from its reverse (201313101), we obtain a palindrome (99999999).

The spelling of 101313102 in words is "one hundred one million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 2398 3597 7194 14083 28166 42249 84498 154913 309826 464739 929478 1535047 3070094 4605141 9210282 16885517 33771034 50656551 101313102