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103144301736 = 23375910406003
BaseRepresentation
bin110000000001111100…
…0010010010010101000
3100212020022012102100120
41200003320102102220
53142214420123421
6115214524203240
710311004045650
oct1400370222250
9325208172316
10103144301736
113a81a2a6583
1217ba6999520
13995a079308
144dc68ab360
152a3a2d48c6
hex1803e124a8

103144301736 has 64 divisors (see below), whose sum is σ = 299692915200. Its totient is φ = 28970309568.

The previous prime is 103144301693. The next prime is 103144301737. The reversal of 103144301736 is 637103441301.

It is a super-2 number, since 2×1031443017362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103144301697 and 103144301706.

It is not an unprimeable number, because it can be changed into a prime (103144301737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5193090 + ... + 5212913.

It is an arithmetic number, because the mean of its divisors is an integer number (4682701800).

Almost surely, 2103144301736 is an apocalyptic number.

It is an amenable number.

103144301736 is an abundant number, since it is smaller than the sum of its proper divisors (196548613464).

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

103144301736 is a wasteful number, since it uses less digits than its factorization.

103144301736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406078 (or 10406074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 103144301736 in words is "one hundred three billion, one hundred forty-four million, three hundred one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 10406003 20812006 31218009 41624012 62436018 72842021 83248024 124872036 145684042 218526063 249744072 291368084 437052126 582736168 613954177 874104252 1227908354 1748208504 1841862531 2455816708 3683725062 4297679239 4911633416 7367450124 8595358478 12893037717 14734900248 17190716956 25786075434 34381433912 51572150868 103144301736