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1102412808 = 233372572837
BaseRepresentation
bin100000110110101…
…0111110000001000
32211211101101002000
41001231113300020
54224204202213
6301220311000
736214232340
oct10155276010
92754341060
101102412808
11516313072
12269242460
13147516c93
14a65a9d20
1566bb0c73
hex41b57c08

1102412808 has 128 divisors (see below), whose sum is σ = 3514579200. Its totient is φ = 313638912.

The previous prime is 1102412803. The next prime is 1102412863. The reversal of 1102412808 is 8082142011.

It is a super-3 number, since 3×11024128083 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1102412803) 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 31 ways as a sum of consecutive naturals, for example, 387166 + ... + 390002.

It is an arithmetic number, because the mean of its divisors is an integer number (27457650).

Almost surely, 21102412808 is an apocalyptic number.

1102412808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102412808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757289600).

1102412808 is an abundant number, since it is smaller than the sum of its proper divisors (2412166392).

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

1102412808 is a wasteful number, since it uses less digits than its factorization.

1102412808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1102412808 is about 33202.6024281230. The cubic root of 1102412808 is about 1033.0343199582.

Adding to 1102412808 its reverse (8082142011), we get a palindrome (9184554819).

It can be divided in two parts, 11024 and 12808, that added together give a palindrome (23832).

The spelling of 1102412808 in words is "one billion, one hundred two million, four hundred twelve thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 257 378 504 514 756 771 1028 1512 1542 1799 2056 2313 2837 3084 3598 4626 5397 5674 6168 6939 7196 8511 9252 10794 11348 13878 14392 16191 17022 18504 19859 21588 22696 25533 27756 32382 34044 39718 43176 48573 51066 55512 59577 64764 68088 76599 79436 97146 102132 119154 129528 153198 158872 178731 194292 204264 238308 306396 357462 388584 476616 536193 612792 714924 729109 1072386 1429848 1458218 2144772 2187327 2916436 4289544 4374654 5103763 5832872 6561981 8749308 10207526 13123962 15311289 17498616 19685943 20415052 26247924 30622578 39371886 40830104 45933867 52495848 61245156 78743772 91867734 122490312 137801601 157487544 183735468 275603202 367470936 551206404 1102412808