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1225041111 = 337223127317
BaseRepresentation
bin100100100000100…
…1010010011010111
310011101010112111000
41021001022103113
510002102303421
6321320514343
742233451300
oct11101122327
93141115430
101225041111
1157955a578
122a231b9b3
13166a512c8
14b89ab7a7
1572835226
hex4904a4d7

1225041111 has 96 divisors (see below), whose sum is σ = 2227322880. Its totient is φ = 662219712.

The previous prime is 1225041107. The next prime is 1225041119. The reversal of 1225041111 is 1111405221.

1225041111 is a `hidden beast` number, since 1 + 2 + 250 + 411 + 1 + 1 = 666.

It is not a de Polignac number, because 1225041111 - 22 = 1225041107 is a prime.

It is a super-2 number, since 2×12250411112 = 3001451447280228642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225041119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3864325 + ... + 3864641.

It is an arithmetic number, because the mean of its divisors is an integer number (23201280).

Almost surely, 21225041111 is an apocalyptic number.

1225041111 is a deficient number, since it is larger than the sum of its proper divisors (1002281769).

1225041111 is a wasteful number, since it uses less digits than its factorization.

1225041111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1225041111 is about 35000.5872950726. The cubic root of 1225041111 is about 1069.9994500245. Note that the first 3 decimals are identical.

Adding to 1225041111 its reverse (1111405221), we get a palindrome (2336446332).

It can be divided in two parts, 12250 and 41111, that added together give a square (53361 = 2312).

The spelling of 1225041111 in words is "one billion, two hundred twenty-five million, forty-one thousand, one hundred eleven".

Divisors: 1 3 7 9 21 23 27 49 63 69 127 147 161 189 207 317 381 441 483 621 889 951 1127 1143 1323 1449 2219 2667 2853 2921 3381 3429 4347 6223 6657 7291 8001 8559 8763 10143 15533 18669 19971 20447 21873 24003 26289 30429 40259 46599 51037 56007 59913 61341 65619 78867 120777 139797 143129 153111 168021 184023 196857 281813 357259 362331 419391 429387 459333 552069 845439 925957 1071777 1086993 1288161 1377999 1972691 2536317 2777871 3215331 3864483 5918073 6481699 7608951 8333613 9645993 17754219 19445097 25000839 45371893 53262657 58335291 136115679 175005873 408347037 1225041111