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101203141041 = 3323730722303
BaseRepresentation
bin101111001000000101…
…1010110000110110001
3100200020000120020111000
41132100023112012301
53124231001003131
6114254142312213
710211623335222
oct1362013260661
9320200506430
10101203141041
1139a13597842
1217744888669
13970ab63812
144c80b6b249
152974b95ce6
hex17902d61b1

101203141041 has 32 divisors (see below), whose sum is σ = 156477726720. Its totient is φ = 64523611152.

The previous prime is 101203140979. The next prime is 101203141051. The reversal of 101203141041 is 140141302101.

101203141041 is a `hidden beast` number, since 10 + 1 + 203 + 1 + 410 + 41 = 666.

It is not a de Polignac number, because 101203141041 - 26 = 101203140977 is a prime.

It is a super-3 number, since 3×1012031410413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101203141051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4526496 + ... + 4548798.

It is an arithmetic number, because the mean of its divisors is an integer number (4889928960).

Almost surely, 2101203141041 is an apocalyptic number.

It is an amenable number.

101203141041 is a deficient number, since it is larger than the sum of its proper divisors (55274585679).

101203141041 is a wasteful number, since it uses less digits than its factorization.

101203141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29642 (or 29636 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101203141041 its reverse (140141302101), we get a palindrome (241344443142).

The spelling of 101203141041 in words is "one hundred one billion, two hundred three million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 9 23 27 69 207 621 7307 21921 22303 65763 66909 168061 197289 200727 504183 512969 602181 1512549 1538907 4537647 4616721 13850163 162968021 488904063 1466712189 3748264483 4400136567 11244793449 33734380347 101203141041