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100300031440 = 24571391288541
BaseRepresentation
bin101110101101001011…
…0010000010111010000
3100120220002012112000021
41131122112100113100
53120403302001230
6114024401433224
710150346125510
oct1353226202720
9316802175007
10100300031440
113959a831174
121753233b814
1395c5a1b93b
144bd6c41840
152920752c7a
hex175a5905d0

100300031440 has 80 divisors (see below), whose sum is σ = 268429069440. Its totient is φ = 34141155840.

The previous prime is 100300031411. The next prime is 100300031449. The reversal of 100300031440 is 44130003001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300031449) 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 15 ways as a sum of consecutive naturals, for example, 566431 + ... + 722110.

It is an arithmetic number, because the mean of its divisors is an integer number (3355363368).

Almost surely, 2100300031440 is an apocalyptic number.

100300031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300031440 is an abundant number, since it is smaller than the sum of its proper divisors (168129038000).

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

100300031440 is a wasteful number, since it uses less digits than its factorization.

100300031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288700 (or 1288694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100300031440 its reverse (44130003001), we get a palindrome (144430034441).

The spelling of 100300031440 in words is "one hundred billion, three hundred million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 278 280 556 560 695 973 1112 1390 1946 2224 2780 3892 4865 5560 7784 9730 11120 15568 19460 38920 77840 1288541 2577082 5154164 6442705 9019787 10308328 12885410 18039574 20616656 25770820 36079148 45098935 51541640 72158296 90197870 103083280 144316592 179107199 180395740 358214398 360791480 716428796 721582960 895535995 1253750393 1432857592 1791071990 2507500786 2865715184 3582143980 5015001572 6268751965 7164287960 10030003144 12537503930 14328575920 20060006288 25075007860 50150015720 100300031440