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1102339680 = 2535132107127
BaseRepresentation
bin100000110110100…
…0101111001100000
32211211020122202120
41001231011321200
54224144332210
6301214544240
736213506211
oct10155057140
92754218676
101102339680
11516273132
12269208080
131474bc900
14a658b408
1566b99270
hex41b45e60

1102339680 has 288 divisors, whose sum is σ = 3825045504. Its totient is φ = 266692608.

The previous prime is 1102339669. The next prime is 1102339691. The reversal of 1102339680 is 869332011.

It is an interprime number because it is at equal distance from previous prime (1102339669) and next prime (1102339691).

It is a super-3 number, since 3×11023396803 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8679777 + ... + 8679903.

It is an arithmetic number, because the mean of its divisors is an integer number (13281408).

Almost surely, 21102339680 is an apocalyptic number.

1102339680 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 1102339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912522752).

1102339680 is an abundant number, since it is smaller than the sum of its proper divisors (2722705824).

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

1102339680 is a wasteful number, since it uses less digits than its factorization.

1102339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1102339680 is about 33201.5011708808. The cubic root of 1102339680 is about 1033.0114775155.

The spelling of 1102339680 in words is "one billion, one hundred two million, three hundred thirty-nine thousand, six hundred eighty".