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1100101041 = 331315719963
BaseRepresentation
bin100000110010010…
…0011010110110001
32211200000220221000
41001210203112301
54223111213131
6301054552213
736155463444
oct10144432661
92750026830
101100101041
11514a84216
12268508669
13146bb7980
14a616765b
15668a5ce6
hex419235b1

1100101041 has 32 divisors (see below), whose sum is σ = 1766414720. Its totient is φ = 672639552.

The previous prime is 1100101027. The next prime is 1100101043. The reversal of 1100101041 is 1401010011.

It is not a de Polignac number, because 1100101041 - 221 = 1098003889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100101043) 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, 45126 + ... + 65088.

It is an arithmetic number, because the mean of its divisors is an integer number (55200460).

Almost surely, 21100101041 is an apocalyptic number.

It is an amenable number.

1100101041 is a deficient number, since it is larger than the sum of its proper divisors (666313679).

1100101041 is a wasteful number, since it uses less digits than its factorization.

1100101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20142 (or 20136 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100101041 is about 33167.7711189643. The cubic root of 1100101041 is about 1032.3117213417.

Adding to 1100101041 its reverse (1401010011), we get a palindrome (2501111052).

The spelling of 1100101041 in words is "one billion, one hundred million, one hundred one thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 157 351 471 1413 2041 4239 6123 18369 19963 55107 59889 179667 259519 539001 778557 2335671 3134191 7007013 9402573 28207719 40744483 84623157 122233449 366700347 1100101041