Search a number
-
+
10310433140 = 2257421174931
BaseRepresentation
bin10011001101000110…
…01011100101110100
3222121112220021100002
421212203023211310
5132103432330030
64423032210432
7513334143560
oct114643134564
928545807302
1010310433140
114410a75027
121bb8b39a18
13c840cc017
146db4906a0
1540527d245
hex2668cb974

10310433140 has 48 divisors (see below), whose sum is σ = 24803958144. Its totient is φ = 3526588800.

The previous prime is 10310433131. The next prime is 10310433187. The reversal of 10310433140 is 4133401301.

10310433140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28526 + ... + 146405.

It is an arithmetic number, because the mean of its divisors is an integer number (516749128).

Almost surely, 210310433140 is an apocalyptic number.

10310433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310433140 is an abundant number, since it is smaller than the sum of its proper divisors (14493525004).

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

10310433140 is a wasteful number, since it uses less digits than its factorization.

10310433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175368 (or 175366 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10310433140 its reverse (4133401301), we get a palindrome (14443834441).

The spelling of 10310433140 in words is "ten billion, three hundred ten million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 421 842 1684 2105 2947 4210 5894 8420 11788 14735 29470 58940 174931 349862 699724 874655 1224517 1749310 2449034 3498620 4898068 6122585 12245170 24490340 73645951 147291902 294583804 368229755 515521657 736459510 1031043314 1472919020 2062086628 2577608285 5155216570 10310433140