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1103340220224 = 263113714119321
BaseRepresentation
bin10000000011100100001…
…100111010111101000000
310220110220200021112110220
4100003210030322331000
5121034120044021344
62202511214023040
7142466541062634
oct20034414727500
93813820245426
101103340220224
11395a18876980
12159a024a7a80
1380076b00448
143b58ad52dc4
151da78d4ac19
hex100e433af40

1103340220224 has 112 divisors (see below), whose sum is σ = 3270712702656. Its totient is φ = 325309132800.

The previous prime is 1103340220193. The next prime is 1103340220231. The reversal of 1103340220224 is 4220220433011.

It is a happy number.

It is a super-2 number, since 2×11033402202242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1103340220194 and 1103340220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6981517 + ... + 7137804.

It is an arithmetic number, because the mean of its divisors is an integer number (29202791988).

Almost surely, 21103340220224 is an apocalyptic number.

It is an amenable number.

1103340220224 is an abundant number, since it is smaller than the sum of its proper divisors (2167372482432).

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

1103340220224 is a wasteful number, since it uses less digits than its factorization.

1103340220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14119384 (or 14119374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1103340220224 its reverse (4220220433011), we get a palindrome (5323560653235).

The spelling of 1103340220224 in words is "one trillion, one hundred three billion, three hundred forty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1184 1221 1628 1776 2112 2368 2442 3256 3552 4884 6512 7104 9768 13024 19536 26048 39072 78144 14119321 28238642 42357963 56477284 84715926 112954568 155312531 169431852 225909136 310625062 338863704 451818272 465937593 522414877 621250124 677727408 903636544 931875186 1044829754 1242500248 1355454816 1567244631 1863750372 2089659508 2485000496 2710909632 3134489262 3727500744 4179319016 4970000992 5746563647 6268978524 7455001488 8358638032 9940001984 11493127294 12537957048 14910002976 16717276064 17239690941 22986254588 25075914096 29820005952 33434552128 34479381882 45972509176 50151828192 68958763764 91945018352 100303656384 137917527528 183890036704 275835055056 367780073408 551670110112 1103340220224