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110420103222 = 232111353809401
BaseRepresentation
bin110011011010110001…
…1010001000000110110
3101120000100220102122200
41212311203101000312
53302120021300342
6122420514005330
710656212251122
oct1466543210066
9346010812580
10110420103222
11429132a6960
1219497576846
13a5495598b0
1454b6cdc582
152d13e2c94c
hex19b58d1036

110420103222 has 96 divisors (see below), whose sum is σ = 286372902816. Its totient is φ = 30303936000.

The previous prime is 110420103217. The next prime is 110420103257. The reversal of 110420103222 is 222301024011.

It is a happy number.

110420103222 is a `hidden beast` number, since 1 + 10 + 420 + 10 + 3 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110420103195 and 110420103204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 268279 + ... + 541122.

It is an arithmetic number, because the mean of its divisors is an integer number (2983051071).

Almost surely, 2110420103222 is an apocalyptic number.

110420103222 is an abundant number, since it is smaller than the sum of its proper divisors (175952799594).

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

110420103222 is a wasteful number, since it uses less digits than its factorization.

110420103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809486 (or 809483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110420103222 its reverse (222301024011), we get a palindrome (332721127233).

The spelling of 110420103222 in words is "one hundred ten billion, four hundred twenty million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 53 66 78 99 106 117 143 159 198 234 286 318 429 477 583 689 858 954 1166 1287 1378 1749 2067 2574 3498 4134 5247 6201 7579 10494 12402 15158 22737 45474 68211 136422 809401 1618802 2428203 4856406 7284609 8903411 10522213 14569218 17806822 21044426 26710233 31566639 42898253 53420466 63133278 80130699 85796506 94699917 115744343 128694759 160261398 189399834 231488686 257389518 347233029 386084277 471880783 557677289 694466058 772168554 943761566 1041699087 1115354578 1415642349 1673031867 2083398174 2831284698 3346063734 4246927047 5019095601 6134450179 8493854094 10038191202 12268900358 18403350537 36806701074 55210051611 110420103222