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101145016 = 2372258023
BaseRepresentation
bin1100000011101…
…01100110111000
321001022200212201
412001311212320
5201343120031
614011515544
72335501300
oct601654670
9231280781
10101145016
1152103825
1229a58bb4
1317c54a2b
14d60c600
158d2dd61
hex60759b8

101145016 has 24 divisors (see below), whose sum is σ = 220610520. Its totient is φ = 43347696.

The previous prime is 101144983. The next prime is 101145047. The reversal of 101145016 is 610541101.

It is a junction number, because it is equal to n+sod(n) for n = 101144984 and 101145002.

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 5 ways as a sum of consecutive naturals, for example, 128620 + ... + 129403.

It is an arithmetic number, because the mean of its divisors is an integer number (9192105).

Almost surely, 2101145016 is an apocalyptic number.

It is an amenable number.

101145016 is an abundant number, since it is smaller than the sum of its proper divisors (119465504).

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

101145016 is a wasteful number, since it uses less digits than its factorization.

101145016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258043 (or 258032 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 101145016 is about 10057.0878488755. The cubic root of 101145016 is about 465.9237289750.

Adding to 101145016 its reverse (610541101), we get a palindrome (711686117).

The spelling of 101145016 in words is "one hundred one million, one hundred forty-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 258023 516046 1032092 1806161 2064184 3612322 7224644 12643127 14449288 25286254 50572508 101145016