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103034003310 = 23257792070203
BaseRepresentation
bin101111111110101001…
…1100001111101101110
3100211221121122200100200
41133331103201331232
53142003201101220
6115155544134330
710305164402130
oct1377523417556
9324847580320
10103034003310
113a773010757
1217b75a673a6
13994026b184
144db5d99050
152a30798890
hex17fd4e1f6e

103034003310 has 96 divisors (see below), whose sum is σ = 310033751040. Its totient is φ = 23252508864.

The previous prime is 103034003299. The next prime is 103034003323. The reversal of 103034003310 is 13300430301.

103034003310 is a `hidden beast` number, since 10 + 3 + 0 + 340 + 0 + 3 + 310 = 666.

103034003310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030340033102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985332 + ... + 1084871.

It is an arithmetic number, because the mean of its divisors is an integer number (3229518240).

Almost surely, 2103034003310 is an apocalyptic number.

103034003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103034003310 is an abundant number, since it is smaller than the sum of its proper divisors (206999747730).

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

103034003310 is a wasteful number, since it uses less digits than its factorization.

103034003310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070302 (or 2070299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103034003310 its reverse (13300430301), we get a palindrome (116334433611).

The spelling of 103034003310 in words is "one hundred three billion, thirty-four million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 1106 1185 1422 1659 2370 2765 3318 3555 4977 5530 7110 8295 9954 16590 24885 49770 2070203 4140406 6210609 10351015 12421218 14491421 18631827 20702030 28982842 31053045 37263654 43474263 62106090 72457105 86948526 93159135 130422789 144914210 163546037 186318270 217371315 260845578 327092074 434742630 490638111 652113945 817730185 981276222 1144822259 1304227890 1471914333 1635460370 2289644518 2453190555 2943828666 3434466777 4906381110 5724111295 6868933554 7359571665 10303400331 11448222590 14719143330 17172333885 20606800662 34344667770 51517001655 103034003310