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103314310440 = 23351178268417
BaseRepresentation
bin110000000111000000…
…0110100010100101000
3100212200011002202110020
41200032000310110220
53143041430413230
6115243440120440
710315140102105
oct1401600642450
9325604082406
10103314310440
113a8a7264640
1218033906120
139986362593
1450012c3aac
152a4a1b7810
hex180e034528

103314310440 has 64 divisors (see below), whose sum is σ = 338119565760. Its totient is φ = 25045893120.

The previous prime is 103314310439. The next prime is 103314310447. The reversal of 103314310440 is 44013413301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103314310440.

It is not an unprimeable number, because it can be changed into a prime (103314310447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39132889 + ... + 39135528.

It is an arithmetic number, because the mean of its divisors is an integer number (5283118215).

Almost surely, 2103314310440 is an apocalyptic number.

103314310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103314310440 is an abundant number, since it is smaller than the sum of its proper divisors (234805255320).

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

103314310440 is a wasteful number, since it uses less digits than its factorization.

103314310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78268442 (or 78268438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103314310440 its reverse (44013413301), we get a palindrome (147327723741).

The spelling of 103314310440 in words is "one hundred three billion, three hundred fourteen million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 78268417 156536834 234805251 313073668 391342085 469610502 626147336 782684170 860952587 939221004 1174026255 1565368340 1721905174 1878442008 2348052510 2582857761 3130736680 3443810348 4304762935 4696105020 5165715522 6887620696 8609525870 9392210040 10331431044 12914288805 17219051740 20662862088 25828577610 34438103480 51657155220 103314310440