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1030142240500 = 22534150250841
BaseRepresentation
bin11101111110110010100…
…00110010011011110100
310122110222101100220010211
432333121100302123310
5113334212403144000
62105124003155204
7134265612366142
oct16773120623364
93573871326124
101030142240500
1136797649135a
12147794675b04
13761acc739c9
1437c0571a592
151bbe2ada7ba
hexefd94326f4

1030142240500 has 48 divisors (see below), whose sum is σ = 2304704617488. Its totient is φ = 402006720000.

The previous prime is 1030142240489. The next prime is 1030142240503. The reversal of 1030142240500 is 50422410301.

It can be written as a sum of positive squares in 8 ways, for example, as 690006003556 + 340136236944 = 830666^2 + 583212^2 .

It is a super-2 number, since 2×10301422405002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030142240503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25104921 + ... + 25145920.

It is an arithmetic number, because the mean of its divisors is an integer number (48014679531).

Almost surely, 21030142240500 is an apocalyptic number.

1030142240500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030142240500 is an abundant number, since it is smaller than the sum of its proper divisors (1274562376988).

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

1030142240500 is a wasteful number, since it uses less digits than its factorization.

1030142240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50250901 (or 50250889 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1030142240500 its reverse (50422410301), we get a palindrome (1080564650801).

The spelling of 1030142240500 in words is "one trillion, thirty billion, one hundred forty-two million, two hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 10250 20500 50250841 100501682 201003364 251254205 502508410 1005016820 1256271025 2060284481 2512542050 4120568962 5025084100 6281355125 8241137924 10301422405 12562710250 20602844810 25125420500 41205689620 51507112025 103014224050 206028448100 257535560125 515071120250 1030142240500