Search a number
-
+
41312250200 = 235213112314149
BaseRepresentation
bin100110011110011001…
…101110100101011000
310221122010021202100202
4212132121232211120
51134101414001300
630551212521332
72661520222064
oct463631564530
9127563252322
1041312250200
111657a763041
12800b480248
133b84bb9380
141ddc99aaa4
15111bce6ad5
hex99e66e958

41312250200 has 96 divisors (see below), whose sum is σ = 103538946000. Its totient is φ = 15239093760.

The previous prime is 41312250191. The next prime is 41312250233. The reversal of 41312250200 is 205221314.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2912726 + ... + 2926874.

Almost surely, 241312250200 is an apocalyptic number.

41312250200 is a gapful number since it is divisible by the number (40) 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 41312250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51769473000).

41312250200 is an abundant number, since it is smaller than the sum of its proper divisors (62226695800).

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

41312250200 is a wasteful number, since it uses less digits than its factorization.

41312250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 41312250200 its reverse (205221314), we get a palindrome (41517471514).

The spelling of 41312250200 in words is "forty-one billion, three hundred twelve million, two hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1123 1300 2246 2600 4492 5615 8984 11230 14149 14599 22460 28075 28298 29198 44920 56150 56596 58396 70745 72995 112300 113192 116792 141490 145990 183937 224600 282980 291980 353725 364975 367874 565960 583960 707450 729950 735748 919685 1414900 1459900 1471496 1839370 2829800 2919800 3678740 4598425 7357480 9196850 15889327 18393700 31778654 36787400 63557308 79446635 127114616 158893270 206561251 317786540 397233175 413122502 635573080 794466350 826245004 1032806255 1588932700 1652490008 2065612510 3177865400 4131225020 5164031275 8262450040 10328062550 20656125100 41312250200