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1102213440 = 26335295383
BaseRepresentation
bin100000110110010…
…0111000101000000
32211211000020121000
41001230213011000
54224131312230
6301212132000
736212442156
oct10154470500
92754006530
101102213440
115161972a9
12269167000
13147477303
14a65573d6
1566b71b60
hex41b27140

1102213440 has 448 divisors, whose sum is σ = 4147718400. Its totient is φ = 275079168.

The previous prime is 1102213423. The next prime is 1102213457. The reversal of 1102213440 is 443122011.

1102213440 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1102213423) and next prime (1102213457).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13279639 + ... + 13279721.

It is an arithmetic number, because the mean of its divisors is an integer number (9258300).

Almost surely, 21102213440 is an apocalyptic number.

1102213440 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 1102213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073859200).

1102213440 is an abundant number, since it is smaller than the sum of its proper divisors (3045504960).

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

1102213440 is a wasteful number, since it uses less digits than its factorization.

1102213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

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

The square root of 1102213440 is about 33199.5999975903. The cubic root of 1102213440 is about 1032.9720425000.

Adding to 1102213440 its reverse (443122011), we get a palindrome (1545335451).

The spelling of 1102213440 in words is "one billion, one hundred two million, two hundred thirteen thousand, four hundred forty".