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102313002 = 23112532659
BaseRepresentation
bin1100001100100…
…10110000101010
321010112001001110
412012102300222
5202143004002
614052531150
72351434431
oct606226052
9233461043
10102313002
1152831300
122a320ab6
131827354c
14d834118
158eaee6c
hex6192c2a

102313002 has 48 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 30407520.

The previous prime is 102312983. The next prime is 102313019. The reversal of 102313002 is 200313201.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37149 + ... + 39807.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2102313002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

102313002 is an abundant number, since it is smaller than the sum of its proper divisors (126936438).

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

102313002 is a wasteful number, since it uses less digits than its factorization.

102313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102313002 is about 10114.9889767612. The cubic root of 102313002 is about 467.7103090673.

Adding to 102313002 its reverse (200313201), we get a palindrome (302626203).

The spelling of 102313002 in words is "one hundred two million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 2659 3498 5318 6413 7977 12826 15954 19239 29249 38478 58498 87747 140927 175494 281854 321739 422781 643478 845562 965217 1550197 1930434 3100394 4650591 9301182 17052167 34104334 51156501 102313002