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101141344 = 2531101957
BaseRepresentation
bin1100000011101…
…00101101100000
321001022111211201
412001310231200
5201343010334
614011450544
72335454503
oct601645540
9231274751
10101141344
1152100a97
1229a56a54
1317c53165
14d60b13a
158d2cc14
hex6074b60

101141344 has 24 divisors (see below), whose sum is σ = 205547328. Its totient is φ = 48938880.

The previous prime is 101141323. The next prime is 101141363. The reversal of 101141344 is 443141101.

It is a super-2 number, since 2×1011413442 = 20459142932252672, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 49987 + ... + 51970.

It is an arithmetic number, because the mean of its divisors is an integer number (8564472).

Almost surely, 2101141344 is an apocalyptic number.

It is an amenable number.

101141344 is an abundant number, since it is smaller than the sum of its proper divisors (104405984).

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

101141344 is a wasteful number, since it uses less digits than its factorization.

101141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101998 (or 101990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101141344 is about 10056.9052894019. The cubic root of 101141344 is about 465.9180905603.

Adding to 101141344 its reverse (443141101), we get a palindrome (544282445).

The spelling of 101141344 in words is "one hundred one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 101957 203914 407828 815656 1631312 3160667 3262624 6321334 12642668 25285336 50570672 101141344