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11421300041120 = 255421619727361
BaseRepresentation
bin1010011000110011101010…
…0010000010010110100000
31111102212101001000020201002
42212030322202002112200
52444111310302303440
640142512305331132
72256106314352514
oct246147242022640
944385331006632
1011421300041120
113703823136482
121345636336aa8
1364b04088a908
142b6b18552144
1514c16301b115
hexa633a8825a0

11421300041120 has 96 divisors (see below), whose sum is σ = 27052266756816. Its totient is φ = 4556766412800.

The previous prime is 11421300041119. The next prime is 11421300041191. The reversal of 11421300041120 is 2114000312411.

It can be written as a sum of positive squares in 8 ways, for example, as 1387787665936 + 10033512375184 = 1178044^2 + 3167572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11421300041092 and 11421300041101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417416240 + ... + 417443600.

Almost surely, 211421300041120 is an apocalyptic number.

11421300041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11421300041120 is an abundant number, since it is smaller than the sum of its proper divisors (15630966715696).

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

11421300041120 is a wasteful number, since it uses less digits than its factorization.

11421300041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33994 (or 33986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11421300041120 its reverse (2114000312411), we get a palindrome (13535300353531).

The spelling of 11421300041120 in words is "eleven trillion, four hundred twenty-one billion, three hundred million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 421 842 1684 2105 3368 4210 6197 6736 8420 12394 13472 16840 24788 27361 30985 33680 49576 54722 61970 67360 99152 109444 123940 136805 198304 218888 247880 273610 437776 495760 547220 875552 991520 1094440 2188880 2608937 4377760 5217874 10435748 11518981 13044685 20871496 23037962 26089370 41742992 46075924 52178740 57594905 83485984 92151848 104357480 115189810 169556117 184303696 208714960 230379620 339112234 368607392 417429920 460759240 678224468 847780585 921518480 1356448936 1695561170 1843036960 2712897872 3391122340 5425795744 6782244680 13564489360 27128978720 71383125257 142766250514 285532501028 356915626285 571065002056 713831252570 1142130004112 1427662505140 2284260008224 2855325010280 5710650020560 11421300041120