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101311144 = 23112394817
BaseRepresentation
bin1100000100111…
…10001010101000
321001122010202121
412002132022220
5201413424034
614015241024
72340062524
oct602361250
9231563677
10101311144
1152207620
1229b19174
1317cb252c
14d652d84
158d631b4
hex609e2a8

101311144 has 32 divisors (see below), whose sum is σ = 208137600. Its totient is φ = 45848320.

The previous prime is 101311087. The next prime is 101311151. The reversal of 101311144 is 441113101.

It is an unprimeable number.

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, 18624 + ... + 23440.

It is an arithmetic number, because the mean of its divisors is an integer number (6504300).

Almost surely, 2101311144 is an apocalyptic number.

It is an amenable number.

101311144 is an abundant number, since it is smaller than the sum of its proper divisors (106826456).

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

101311144 is a wasteful number, since it uses less digits than its factorization.

101311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101311144 is about 10065.3437099783. The cubic root of 101311144 is about 466.1786785563.

Adding to 101311144 its reverse (441113101), we get a palindrome (542424245).

The spelling of 101311144 in words is "one hundred one million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 239 478 956 1912 2629 4817 5258 9634 10516 19268 21032 38536 52987 105974 211948 423896 1151263 2302526 4605052 9210104 12663893 25327786 50655572 101311144