Search a number
-
+
10254030200 = 2352192325101
BaseRepresentation
bin10011000110011000…
…00001010101111000
3222110121202201001022
421203030001111320
5132000012431300
64413255242012
7512050550531
oct114314012570
928417681038
1010254030200
114392150727
121ba2079308
13c755113bb
146d3bab688
1540033b285
hex263301578

10254030200 has 144 divisors (see below), whose sum is σ = 26239075800. Its totient is φ = 3716064000.

The previous prime is 10254030169. The next prime is 10254030203. The reversal of 10254030200 is 203045201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254030203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2007650 + ... + 2012750.

Almost surely, 210254030200 is an apocalyptic number.

10254030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119537900).

10254030200 is an abundant number, since it is smaller than the sum of its proper divisors (15985045600).

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

10254030200 is a wasteful number, since it uses less digits than its factorization.

10254030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10254030200 its reverse (203045201), we get a palindrome (10457075401).

The spelling of 10254030200 in words is "ten billion, two hundred fifty-four million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 529 575 760 874 920 950 1058 1150 1748 1900 2116 2185 2300 2645 3496 3800 4232 4370 4600 5101 5290 8740 10051 10202 10580 10925 13225 17480 20102 20404 21160 21850 25505 26450 40204 40808 43700 50255 51010 52900 80408 87400 96919 100510 102020 105800 117323 127525 193838 201020 204040 234646 251275 255050 387676 402040 469292 484595 502550 510100 586615 775352 938584 969190 1005100 1020200 1173230 1938380 2010200 2229137 2346460 2422975 2698429 2933075 3876760 4458274 4692920 4845950 5396858 5866150 8916548 9691900 10793716 11145685 11732300 13492145 17833096 19383800 21587432 22291370 23464600 26984290 44582740 51270151 53968580 55728425 67460725 89165480 102540302 107937160 111456850 134921450 205080604 222913700 256350755 269842900 410161208 445827400 512701510 539685800 1025403020 1281753775 2050806040 2563507550 5127015100 10254030200