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101318382 = 2321134229
BaseRepresentation
bin1100000100111…
…11111011101110
321001122111200200
412002133323232
5201414142012
614015334330
72340122604
oct602377356
9231574620
10101318382
1152212000
1229b213a6
1317cb5909
14d655874
158d653dc
hex609feee

101318382 has 48 divisors (see below), whose sum is σ = 241516080. Its totient is φ = 30695280.

The previous prime is 101318359. The next prime is 101318387. The reversal of 101318382 is 283813101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101318387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21844 + ... + 26072.

It is an arithmetic number, because the mean of its divisors is an integer number (5031585).

Almost surely, 2101318382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101318382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120758040).

101318382 is an abundant number, since it is smaller than the sum of its proper divisors (140197698).

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

101318382 is a wasteful number, since it uses less digits than its factorization.

101318382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4245 counting only the distinct ones).

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

The square root of 101318382 is about 10065.7032541199. The cubic root of 101318382 is about 466.1897800692.

The spelling of 101318382 in words is "one hundred one million, three hundred eighteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 4229 7986 8458 11979 12687 23958 25374 38061 46519 76122 93038 139557 279114 418671 511709 837342 1023418 1535127 3070254 4605381 5628799 9210762 11257598 16886397 33772794 50659191 101318382