Search a number
-
+
254132055100 = 225271133004163
BaseRepresentation
bin1110110010101101110…
…0110110110000111100
3220021221220022000010001
43230223130312300330
513130430301230400
6312425135524044
724234425553430
oct3545334666074
9807856260101
10254132055100
119885aa13420
1241304389624
131ac70168601
14c42b4dc9c0
156925976a6a
hex3b2b736c3c

254132055100 has 72 divisors (see below), whose sum is σ = 687542744448. Its totient is φ = 79209988800.

The previous prime is 254132055091. The next prime is 254132055109. The reversal of 254132055100 is 1550231452.

It is an interprime number because it is at equal distance from previous prime (254132055091) and next prime (254132055109).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254132055109) 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, 16494382 + ... + 16509781.

It is an arithmetic number, because the mean of its divisors is an integer number (9549204784).

Almost surely, 2254132055100 is an apocalyptic number.

254132055100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254132055100 is an abundant number, since it is smaller than the sum of its proper divisors (433410689348).

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

254132055100 is a wasteful number, since it uses less digits than its factorization.

254132055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33004195 (or 33004188 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 254132055100 its reverse (1550231452), we get a palindrome (255682286552).

The spelling of 254132055100 in words is "two hundred fifty-four billion, one hundred thirty-two million, fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 33004163 66008326 132016652 165020815 231029141 330041630 363045793 462058282 660083260 726091586 825104075 924116564 1155145705 1452183172 1650208150 1815228965 2310291410 2541320551 3300416300 3630457930 4620582820 5082641102 5775728525 7260915860 9076144825 10165282204 11551457050 12706602755 18152289650 23102914100 25413205510 36304579300 50826411020 63533013775 127066027550 254132055100