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101814940 = 22529175543
BaseRepresentation
bin1100001000110…
…01001010011100
321002120201211201
412010121022130
5202031034230
614034125244
72344261363
oct604311234
9232521751
10101814940
1152521087
122a120824
131812a936
14d7447da
158e125ca
hex611929c

101814940 has 24 divisors (see below), whose sum is σ = 221185440. Its totient is φ = 39321408.

The previous prime is 101814907. The next prime is 101814941. The reversal of 101814940 is 49418101.

It is a junction number, because it is equal to n+sod(n) for n = 101814899 and 101814908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101814941) 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 7 ways as a sum of consecutive naturals, for example, 87192 + ... + 88351.

It is an arithmetic number, because the mean of its divisors is an integer number (9216060).

Almost surely, 2101814940 is an apocalyptic number.

101814940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101814940 is an abundant number, since it is smaller than the sum of its proper divisors (119370500).

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

101814940 is a wasteful number, since it uses less digits than its factorization.

101814940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175581 (or 175579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 101814940 is about 10090.3389437620. The cubic root of 101814940 is about 466.9501327687.

The spelling of 101814940 in words is "one hundred one million, eight hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 175543 351086 702172 877715 1755430 3510860 5090747 10181494 20362988 25453735 50907470 101814940