Search a number
-
+
103700382528 = 2637154713907
BaseRepresentation
bin110000010010100000…
…1100100001101000000
3100220200001120020210110
41200211001210031000
53144334244220103
6115350031031320
710330535464521
oct1404501441500
9326601506713
10103700382528
113aa85187286
121812106b540
139a183384c2
14503a6a0848
152a6e029403
hex1825064340

103700382528 has 112 divisors (see below), whose sum is σ = 278767056384. Its totient is φ = 34015188480.

The previous prime is 103700382521. The next prime is 103700382571. The reversal of 103700382528 is 825283007301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103700382521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7449751 + ... + 7463657.

Almost surely, 2103700382528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103700382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139383528192).

103700382528 is an abundant number, since it is smaller than the sum of its proper divisors (175066673856).

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

103700382528 is a wasteful number, since it uses less digits than its factorization.

103700382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 103700382528 its reverse (825283007301), we get a palindrome (928983389829).

The spelling of 103700382528 in words is "one hundred three billion, seven hundred million, three hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 547 568 852 1094 1136 1641 1704 2188 2272 3282 3408 4376 4544 6564 6816 8752 13128 13632 13907 17504 26256 27814 35008 38837 41721 52512 55628 77674 83442 105024 111256 116511 155348 166884 222512 233022 310696 333768 445024 466044 621392 667536 890048 932088 987397 1242784 1335072 1864176 1974794 2485568 2670144 2962191 3728352 3949588 5924382 7456704 7607129 7899176 11848764 15214258 15798352 22821387 23697528 30428516 31596704 45642774 47395056 60857032 63193408 91285548 94790112 121714064 182571096 189580224 243428128 365142192 486856256 540106159 730284384 1080212318 1460568768 1620318477 2160424636 3240636954 4320849272 6481273908 8641698544 12962547816 17283397088 25925095632 34566794176 51850191264 103700382528