Search a number
-
+
11403054410200 = 2352617369126839
BaseRepresentation
bin1010010111101111101100…
…0000011110100111011000
31111101010021110122011101221
42211323323000132213120
52443311423412111300
640130254010221424
72254562214143335
oct245737300364730
944333243564357
1011403054410200
1136a700aa34962
121341ba3a24874
136493c37b74bb
142b5ca726598c
1514b9462e331a
hexa5efb01e9d8

11403054410200 has 96 divisors (see below), whose sum is σ = 26950595364000. Its totient is φ = 4485803443200.

The previous prime is 11403054410161. The next prime is 11403054410213. The reversal of 11403054410200 is 201445030411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89838381 + ... + 89965219.

It is an arithmetic number, because the mean of its divisors is an integer number (280735368375).

Almost surely, 211403054410200 is an apocalyptic number.

11403054410200 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 11403054410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475297682000).

11403054410200 is an abundant number, since it is smaller than the sum of its proper divisors (15547540953800).

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

11403054410200 is a wasteful number, since it uses less digits than its factorization.

11403054410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134285 (or 134276 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11403054410200 its reverse (201445030411), we get a palindrome (11604499440611).

The spelling of 11403054410200 in words is "eleven trillion, four hundred three billion, fifty-four million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 7369 12200 14738 29476 36845 58952 73690 126839 147380 184225 253678 294760 368450 449509 507356 634195 736900 899018 1014712 1268390 1473800 1798036 2247545 2536780 3170975 3596072 4495090 5073560 6341950 7737179 8990180 11237725 12683900 15474358 17980360 22475450 25367800 30948716 38685895 44950900 61897432 77371790 89901800 154743580 193429475 309487160 386858950 773717900 934676591 1547435800 1869353182 3738706364 4673382955 7477412728 9346765910 18693531820 23366914775 37387063640 46733829550 57015272051 93467659100 114030544102 186935318200 228061088204 285076360255 456122176408 570152720510 1140305441020 1425381801275 2280610882040 2850763602550 5701527205100 11403054410200