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10343144500 = 2253131591253
BaseRepresentation
bin10011010000111111…
…11101110000110100
3222200211110011212221
421220133331300310
5132140321111000
64430201252124
7514212164143
oct115037756064
928624404787
1010343144500
114428487607
122007a94044
13c8ab13160
1470196775a
1540809061a
hex2687fdc34

10343144500 has 48 divisors (see below), whose sum is σ = 24327091152. Its totient is φ = 3819004800.

The previous prime is 10343144453. The next prime is 10343144507. The reversal of 10343144500 is 544134301.

It can be written as a sum of positive squares in 8 ways, for example, as 3877054756 + 6466089744 = 62266^2 + 80412^2 .

It is a super-3 number, since 3×103431445003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343144507) 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 15 ways as a sum of consecutive naturals, for example, 789127 + ... + 802126.

It is an arithmetic number, because the mean of its divisors is an integer number (506814399).

Almost surely, 210343144500 is an apocalyptic number.

10343144500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343144500 is an abundant number, since it is smaller than the sum of its proper divisors (13983946652).

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

10343144500 is a wasteful number, since it uses less digits than its factorization.

10343144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591285 (or 1591273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10343144500 its reverse (544134301), we get a palindrome (10887278801).

The spelling of 10343144500 in words is "ten billion, three hundred forty-three million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 1591253 3182506 6365012 7956265 15912530 20686289 31825060 39781325 41372578 79562650 82745156 103431445 159125300 198906625 206862890 397813250 413725780 517157225 795626500 1034314450 2068628900 2585786125 5171572250 10343144500