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101144316 = 22371392623
BaseRepresentation
bin1100000011101…
…01011011111100
321001022122220210
412001311123330
5201343104231
614011512420
72335466250
oct601653374
9231278823
10101144316
1152103249
1229a58710
1317c54610
14d60c260
158d2da46
hex60756fc

101144316 has 48 divisors (see below), whose sum is σ = 290468864. Its totient is φ = 26675136.

The previous prime is 101144311. The next prime is 101144357. The reversal of 101144316 is 613441101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101144292 and 101144301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45220 + ... + 47403.

Almost surely, 2101144316 is an apocalyptic number.

It is an amenable number.

101144316 is an abundant number, since it is smaller than the sum of its proper divisors (189324548).

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

101144316 is a wasteful number, since it uses less digits than its factorization.

101144316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92650 (or 92648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101144316 is about 10057.0530474886. The cubic root of 101144316 is about 465.9226541244.

Adding to 101144316 its reverse (613441101), we get a palindrome (714585417).

The spelling of 101144316 in words is "one hundred one million, one hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 92623 185246 277869 370492 555738 648361 1111476 1204099 1296722 1945083 2408198 2593444 3612297 3890166 4816396 7224594 7780332 8428693 14449188 16857386 25286079 33714772 50572158 101144316