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103032105012 = 22322862002917
BaseRepresentation
bin101111111110100110…
…0010010100000110100
3100211221111002020101100
41133331030102200310
53142002204330022
6115155435330100
710305142304544
oct1377514224064
9324844066340
10103032105012
113a771a34511
1217b752b0930
13993ca55115
144db5a23324
152a305211ac
hex17fd312834

103032105012 has 18 divisors (see below), whose sum is σ = 260442265538. Its totient is φ = 34344034992.

The previous prime is 103032104977. The next prime is 103032105017. The reversal of 103032105012 is 210501230301.

It can be written as a sum of positive squares in only one way, i.e., 86485399056 + 16546705956 = 294084^2 + 128634^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1030321050122 (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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032105017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1431001423 + ... + 1431001494.

Almost surely, 2103032105012 is an apocalyptic number.

103032105012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103032105012 is an abundant number, since it is smaller than the sum of its proper divisors (157410160526).

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

103032105012 is a wasteful number, since it uses less digits than its factorization.

103032105012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862002927 (or 2862002922 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 103032105012 its reverse (210501230301), we get a palindrome (313533335313).

The spelling of 103032105012 in words is "one hundred three billion, thirty-two million, one hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2862002917 5724005834 8586008751 11448011668 17172017502 25758026253 34344035004 51516052506 103032105012