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1103303020224 = 263103109351043
BaseRepresentation
bin10000000011100001111…
…111000000111011000000
310220110211002021120200010
4100003201333000323000
5121034031033121344
62202503404424520
7142465606636056
oct20034177007300
93813732246603
101103303020224
113959a9878a79
121599b1b48140
138006c1a7202
143b58602c1d6
151da7594d8b9
hex100e1fc0ec0

1103303020224 has 112 divisors (see below), whose sum is σ = 2950251729152. Its totient is φ = 363856776192.

The previous prime is 1103303020207. The next prime is 1103303020231. The reversal of 1103303020224 is 4220203033011.

It is a self number, because there is not a number n which added to its sum of digits gives 1103303020224.

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, 21589647 + ... + 21640689.

It is an arithmetic number, because the mean of its divisors is an integer number (26341533296).

Almost surely, 21103303020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103303020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475125864576).

1103303020224 is an abundant number, since it is smaller than the sum of its proper divisors (1846948708928).

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

1103303020224 is a wasteful number, since it uses less digits than its factorization.

1103303020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52254 (or 52244 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1103303020224 its reverse (4220203033011), we get a palindrome (5323506053235).

The spelling of 1103303020224 in words is "one trillion, one hundred three billion, three hundred three million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1093 1236 1648 2186 2472 3279 3296 4372 4944 6558 6592 8744 9888 13116 17488 19776 26232 34976 51043 52464 69952 102086 104928 112579 153129 204172 209856 225158 306258 337737 408344 450316 612516 675474 816688 900632 1225032 1350948 1633376 1801264 2450064 2701896 3266752 3602528 4900128 5257429 5403792 7205056 9800256 10514858 10807584 15772287 21029716 21615168 31544574 42059432 55789999 63089148 84118864 111579998 126178296 167369997 168237728 223159996 252356592 334739994 336475456 446319992 504713184 669479988 892639984 1009426368 1338959976 1785279968 2677919952 3570559936 5355839904 5746369897 10711679808 11492739794 17239109691 22985479588 34478219382 45970959176 68956438764 91941918352 137912877528 183883836704 275825755056 367767673408 551651510112 1103303020224