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103331382 = 237111911171
BaseRepresentation
bin1100010100010…
…11011000110110
321012102210000020
412022023120312
5202423101012
614130430010
72363205450
oct612133066
9235383006
10103331382
1153367440
122a732306
131853bc3b
14da1b2d0
159111a8c
hex628b636

103331382 has 64 divisors (see below), whose sum is σ = 259227648. Its totient is φ = 26676000.

The previous prime is 103331363. The next prime is 103331407. The reversal of 103331382 is 283133301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87657 + ... + 88827.

It is an arithmetic number, because the mean of its divisors is an integer number (4050432).

Almost surely, 2103331382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103331382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129613824).

103331382 is an abundant number, since it is smaller than the sum of its proper divisors (155896266).

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

103331382 is a wasteful number, since it uses less digits than its factorization.

103331382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 103331382 is about 10165.2044740871. The cubic root of 103331382 is about 469.2569850457.

Adding to 103331382 its reverse (283133301), we get a palindrome (386464683).

The spelling of 103331382 in words is "one hundred three million, three hundred thirty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 191 231 382 462 573 1146 1171 1337 2101 2342 2674 3513 4011 4202 6303 7026 8022 8197 12606 12881 14707 16394 24591 25762 29414 38643 44121 49182 77286 88242 90167 180334 223661 270501 447322 541002 670983 1341966 1565627 2460271 3131254 4696881 4920542 7380813 9393762 14761626 17221897 34443794 51665691 103331382