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103770711040 = 210520267717
BaseRepresentation
bin110000010100100110…
…1110110010000000000
3100220211221220022101011
41200221031312100000
53200010300223130
6115401022250304
710332351330103
oct1405115662000
9326757808334
10103770711040
1140010952117
1218140726994
139a29a906c9
145045b6a73a
152a752bc52a
hex1829376400

103770711040 has 44 divisors (see below), whose sum is σ = 248928112476. Its totient is φ = 41508282368.

The previous prime is 103770711029. The next prime is 103770711067. The reversal of 103770711040 is 40117077301.

It can be written as a sum of positive squares in 2 ways, for example, as 74472226816 + 29298484224 = 272896^2 + 171168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103770710993 and 103770711011.

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 3 ways as a sum of consecutive naturals, for example, 10128739 + ... + 10138978.

Almost surely, 2103770711040 is an apocalyptic number.

103770711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103770711040 is an abundant number, since it is smaller than the sum of its proper divisors (145157401436).

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

103770711040 is an equidigital number, since it uses as much as digits as its factorization.

103770711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267742 (or 20267724 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 31.

Adding to 103770711040 its reverse (40117077301), we get a palindrome (143887788341).

The spelling of 103770711040 in words is "one hundred three billion, seven hundred seventy million, seven hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 20267717 40535434 81070868 101338585 162141736 202677170 324283472 405354340 648566944 810708680 1297133888 1621417360 2594267776 3242834720 5188535552 6485669440 10377071104 12971338880 20754142208 25942677760 51885355520 103770711040