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1102411040 = 25531322013
BaseRepresentation
bin100000110110101…
…0111010100100000
32211211101021122112
41001231113110200
54224204123130
6301220254452
736214224233
oct10155272440
92754337575
101102411040
11516311805
12269241428
13147516233
14a65a941a
1566bb0495
hex41b57520

1102411040 has 48 divisors (see below), whose sum is σ = 2612885688. Its totient is φ = 439535616.

The previous prime is 1102411039. The next prime is 1102411043. The reversal of 1102411040 is 401142011.

It can be written as a sum of positive squares in 4 ways, for example, as 625600144 + 476810896 = 25012^2 + 21836^2 .

It is a super-2 number, since 2×11024110402 = 2430620202227763200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102411043) 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 7 ways as a sum of consecutive naturals, for example, 39074 + ... + 61086.

Almost surely, 21102411040 is an apocalyptic number.

1102411040 is a gapful number since it is divisible by the number (10) 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 1102411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306442844).

1102411040 is an abundant number, since it is smaller than the sum of its proper divisors (1510474648).

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

1102411040 is a wasteful number, since it uses less digits than its factorization.

1102411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1102411040 is about 33202.5758036933. The cubic root of 1102411040 is about 1033.0337677133.

Adding to 1102411040 its reverse (401142011), we get a palindrome (1503553051).

The spelling of 1102411040 in words is "one billion, one hundred two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 22013 25040 44026 50080 88052 110065 176104 220130 352208 440260 704416 880520 1761040 3522080 6890069 13780138 27560276 34450345 55120552 68900690 110241104 137801380 220482208 275602760 551205520 1102411040