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101244357 = 3331731657
BaseRepresentation
bin1100000100011…
…01110111000101
321001111202011000
412002031313011
5201404304412
614014003513
72336364024
oct602156705
9231452130
10101244357
1152171425
1229aa6599
1317c8b006
14d6368bb
158d4d4dc
hex608ddc5

101244357 has 32 divisors (see below), whose sum is σ = 157045760. Its totient is φ = 64385280.

The previous prime is 101244349. The next prime is 101244397. The reversal of 101244357 is 753442101.

It is not a de Polignac number, because 101244357 - 23 = 101244349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101244357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101244347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60273 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (4907680).

Almost surely, 2101244357 is an apocalyptic number.

It is an amenable number.

101244357 is a deficient number, since it is larger than the sum of its proper divisors (55801403).

101244357 is a wasteful number, since it uses less digits than its factorization.

101244357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 101244357 is about 10062.0254919176. The cubic root of 101244357 is about 466.0762169110.

Adding to 101244357 its reverse (753442101), we get a palindrome (854686458).

It can be divided in two parts, 1012 and 44357, that added together give a square (45369 = 2132).

The spelling of 101244357 in words is "one hundred one million, two hundred forty-four thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 31 73 93 219 279 657 837 1657 1971 2263 4971 6789 14913 20367 44739 51367 61101 120961 154101 362883 462303 1088649 1386909 3265947 3749791 11249373 33748119 101244357