Search a number
-
+
11325230425200 = 2435283911248739
BaseRepresentation
bin1010010011001101110001…
…0101100010010001110000
31111002200101210002002211010
42210303130111202101300
52441023032442101300
640030423344150520
72246135524163646
oct244633425422160
944080353062733
1011325230425200
11367700436608a
12132aaa4908440
13641c70436b33
142b22034c3196
151498ddda4a50
hexa4cdc562470

11325230425200 has 120 divisors (see below), whose sum is σ = 36321731510400. Its totient is φ = 3016461582080.

The previous prime is 11325230425177. The next prime is 11325230425253. The reversal of 11325230425200 is 252403252311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4617570 + ... + 6631169.

It is an arithmetic number, because the mean of its divisors is an integer number (302681095920).

Almost surely, 211325230425200 is an apocalyptic number.

11325230425200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11325230425200 is an abundant number, since it is smaller than the sum of its proper divisors (24996501085200).

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

11325230425200 is a wasteful number, since it uses less digits than its factorization.

11325230425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11249599 (or 11249588 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11325230425200 its reverse (252403252311), we get a palindrome (11577633677511).

The spelling of 11325230425200 in words is "eleven trillion, three hundred twenty-five billion, two hundred thirty million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 839 1200 1678 2517 3356 4195 5034 6712 8390 10068 12585 13424 16780 20136 20975 25170 33560 40272 41950 50340 62925 67120 83900 100680 125850 167800 201360 251700 335600 503400 1006800 11248739 22497478 33746217 44994956 56243695 67492434 89989912 112487390 134984868 168731085 179979824 224974780 269969736 281218475 337462170 449949560 539939472 562436950 674924340 843655425 899899120 1124873900 1349848680 1687310850 2249747800 2699697360 3374621700 4499495600 6749243400 9437692021 13498486800 18875384042 28313076063 37750768084 47188460105 56626152126 75501536168 94376920210 113252304252 141565380315 151003072336 188753840420 226504608504 235942300525 283130760630 377507680840 453009217008 471884601050 566261521260 707826901575 755015361680 943769202100 1132523042520 1415653803150 1887538404200 2265046085040 2831307606300 3775076808400 5662615212600 11325230425200