Search a number
-
+
251301304120 = 23553118538351
BaseRepresentation
bin1110101000001010111…
…0011001011100111000
3220000122121201221210011
43222002232121130320
513104131113212440
6311240215031304
724104323561216
oct3520256313470
9800577657704
10251301304120
11976380422a9
124085436b534
131a90b862629
14c23d591cb6
15680c1b59ea
hex3a82b99738

251301304120 has 32 divisors (see below), whose sum is σ = 576096390720. Its totient is φ = 98623907200.

The previous prime is 251301304087. The next prime is 251301304123. The reversal of 251301304120 is 21403103152.

It is a happy number.

251301304120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251301304091 and 251301304100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251301304123) 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 7 ways as a sum of consecutive naturals, for example, 59267056 + ... + 59271295.

It is an arithmetic number, because the mean of its divisors is an integer number (18003012210).

Almost surely, 2251301304120 is an apocalyptic number.

251301304120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251301304120 is an abundant number, since it is smaller than the sum of its proper divisors (324795086600).

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

251301304120 is a wasteful number, since it uses less digits than its factorization.

251301304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118538415 (or 118538411 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 251301304120 its reverse (21403103152), we get a palindrome (272704407272).

The spelling of 251301304120 in words is "two hundred fifty-one billion, three hundred one million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 118538351 237076702 474153404 592691755 948306808 1185383510 2370767020 4741534040 6282532603 12565065206 25130130412 31412663015 50260260824 62825326030 125650652060 251301304120