Search a number
-
+
254051001300 = 223521635195317
BaseRepresentation
bin1110110010011010011…
…1101010001111010100
3220021202020210001012110
43230212213222033110
513130244024020200
6312413122351020
724232422611115
oct3544647521724
9807666701173
10254051001300
1198819192508
12412a11bb470
131ac59429695
14c42084020c
15691d7b5b50
hex3b269ea3d4

254051001300 has 72 divisors (see below), whose sum is σ = 739563907936. Its totient is φ = 67331295360.

The previous prime is 254051001277. The next prime is 254051001301. The reversal of 254051001300 is 3100150452.

It is a super-2 number, since 2×2540510013002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254051001301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2548759 + ... + 2646558.

Almost surely, 2254051001300 is an apocalyptic number.

254051001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254051001300 is an abundant number, since it is smaller than the sum of its proper divisors (485512906636).

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

254051001300 is a wasteful number, since it uses less digits than its factorization.

254051001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195497 (or 5195490 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 254051001300 its reverse (3100150452), we get a palindrome (257151151752).

The spelling of 254051001300 in words is "two hundred fifty-four billion, fifty-one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 24450 48900 5195317 10390634 15585951 20781268 25976585 31171902 51953170 62343804 77929755 103906340 129882925 155859510 259765850 311719020 389648775 519531700 779297550 846836671 1558595100 1693673342 2540510013 3387346684 4234183355 5081020026 8468366710 10162040052 12702550065 16936733420 21170916775 25405100130 42341833550 50810200260 63512750325 84683667100 127025500650 254051001300