Search a number
-
+
103023003120 = 2435429262513
BaseRepresentation
bin101111111110010100…
…1100100010111110000
3100211220211221210221020
41133330221210113300
53141442342044440
6115154512255440
710305002035452
oct1377451442760
9324824853836
10103023003120
113a767888094
1217b72241580
13993abb929b
144db47342d2
152a2e8243d0
hex17fca645f0

103023003120 has 40 divisors (see below), whose sum is σ = 319371310416. Its totient is φ = 27472800768.

The previous prime is 103023003107. The next prime is 103023003133. The reversal of 103023003120 is 21300320301.

It is an interprime number because it is at equal distance from previous prime (103023003107) and next prime (103023003133).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1030230031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103023003120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214631017 + ... + 214631496.

Almost surely, 2103023003120 is an apocalyptic number.

103023003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103023003120 is an abundant number, since it is smaller than the sum of its proper divisors (216348307296).

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

103023003120 is a wasteful number, since it uses less digits than its factorization.

103023003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429262529 (or 429262523 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103023003120 its reverse (21300320301), we get a palindrome (124323323421).

The spelling of 103023003120 in words is "one hundred three billion, twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 429262513 858525026 1287787539 1717050052 2146312565 2575575078 3434100104 4292625130 5151150156 6438937695 6868200208 8585250260 10302300312 12877875390 17170500520 20604600624 25755750780 34341001040 51511501560 103023003120