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101052444 = 223471391289
BaseRepresentation
bin1100000010111…
…11000000011100
321001010222220010
412001133000130
5201332134234
614005523220
72334634353
oct601370034
9231128803
10101052444
1152050219
1229a13510
1317c2185c
14d5c699a
158d116e9
hex605f01c

101052444 has 48 divisors (see below), whose sum is σ = 242726400. Its totient is φ = 32704896.

The previous prime is 101052421. The next prime is 101052449. The reversal of 101052444 is 444250101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101052444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052449) 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 15 ways as a sum of consecutive naturals, for example, 77752 + ... + 79040.

It is an arithmetic number, because the mean of its divisors is an integer number (5056800).

Almost surely, 2101052444 is an apocalyptic number.

It is an amenable number.

101052444 is an abundant number, since it is smaller than the sum of its proper divisors (141673956).

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

101052444 is a wasteful number, since it uses less digits than its factorization.

101052444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 101052444 is about 10052.4844690256. The cubic root of 101052444 is about 465.7815415218.

The spelling of 101052444 in words is "one hundred one million, fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 47 94 139 141 188 278 282 417 556 564 834 1289 1668 2578 3867 5156 6533 7734 13066 15468 19599 26132 39198 60583 78396 121166 179171 181749 242332 358342 363498 537513 716684 726996 1075026 2150052 8421037 16842074 25263111 33684148 50526222 101052444