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103045340034 = 23271393767139
BaseRepresentation
bin101111111110111111…
…0110001101110000010
3100211222101222122102100
41133331332301232002
53142014101340114
6115201031131230
710305362636610
oct1377576615602
9324871878370
10103045340034
113a77945414a
1217b79813b16
13994270a2b0
144db76aa6b0
152a31787909
hex17fdfb1b82

103045340034 has 96 divisors (see below), whose sum is σ = 275084933760. Its totient is φ = 27147384576.

The previous prime is 103045340003. The next prime is 103045340053. The reversal of 103045340034 is 430043540301.

103045340034 is a `hidden beast` number, since 10 + 304 + 5 + 340 + 0 + 3 + 4 = 666.

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, 1501237 + ... + 1568375.

It is an arithmetic number, because the mean of its divisors is an integer number (2865468060).

Almost surely, 2103045340034 is an apocalyptic number.

103045340034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103045340034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137542466880).

103045340034 is an abundant number, since it is smaller than the sum of its proper divisors (172039593726).

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

103045340034 is a wasteful number, since it uses less digits than its factorization.

103045340034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68104 (or 68101 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 103045340034 its reverse (430043540301), we get a palindrome (533088880335).

The spelling of 103045340034 in words is "one hundred three billion, forty-five million, three hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 937 1638 1874 2811 5622 6559 8433 12181 13118 16866 19677 24362 36543 39354 59031 67139 73086 85267 109629 118062 134278 170534 201417 219258 255801 402834 469973 511602 604251 767403 872807 939946 1208502 1409919 1534806 1745614 2618421 2819838 4229757 5236842 6109649 7855263 8459514 12219298 15710526 18328947 36657894 54986841 62909243 109973682 125818486 188727729 377455458 440364701 566183187 817820159 880729402 1132366374 1321094103 1635640318 2453460477 2642188206 3963282309 4906920954 5724741113 7360381431 7926564618 11449482226 14720762862 17174223339 34348446678 51522670017 103045340034