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1102108032 = 273731127
BaseRepresentation
bin100000110110000…
…1101010110000000
32211210210220000000
41001230031112000
54224114424112
6301210000000
736211522644
oct10154152600
92753726000
101102108032
11516125093
12269116000
1314743b33c
14a652ac24
1566b507dc
hex41b0d580

1102108032 has 256 divisors, whose sum is σ = 3425894400. Its totient is φ = 352719360.

The previous prime is 1102108031. The next prime is 1102108081. The reversal of 1102108032 is 2308012011.

It is a super-2 number, since 2×11021080322 = 2429284228397826048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102107996 and 1102108014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102108031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8677953 + ... + 8678079.

It is an arithmetic number, because the mean of its divisors is an integer number (13382400).

Almost surely, 21102108032 is an apocalyptic number.

1102108032 is a gapful number since it is divisible by the number (12) 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 1102108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712947200).

1102108032 is an abundant number, since it is smaller than the sum of its proper divisors (2323786368).

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

1102108032 is an frugal number, since it uses more digits than its factorization.

1102108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1102108032 is about 33198.0124706284. The cubic root of 1102108032 is about 1032.9391127049.

The spelling of 1102108032 in words is "one billion, one hundred two million, one hundred eight thousand, thirty-two".