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101124140103 = 32747155321991
BaseRepresentation
bin101111000101101110…
…1111110110001000111
3100200000111220120120100
41132023131332301013
53124100234440403
6114242241135143
710206644002620
oct1361335766107
9320014816510
10101124140103
1139982a39208
121772232a4b3
1396c76930bc
144c74484a47
15296cc8d2a3
hex178b77ec47

101124140103 has 48 divisors (see below), whose sum is σ = 170604435456. Its totient is φ = 56516762880.

The previous prime is 101124140101. The next prime is 101124140191. The reversal of 101124140103 is 301041421101.

101124140103 is a `hidden beast` number, since 10 + 11 + 241 + 401 + 0 + 3 = 666.

It is not a de Polignac number, because 101124140103 - 21 = 101124140101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101124140101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587438 + ... + 4609428.

It is an arithmetic number, because the mean of its divisors is an integer number (3554259072).

Almost surely, 2101124140103 is an apocalyptic number.

101124140103 is a deficient number, since it is larger than the sum of its proper divisors (69480295353).

101124140103 is a wasteful number, since it uses less digits than its factorization.

101124140103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23604 (or 23601 counting only the distinct ones).

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

Adding to 101124140103 its reverse (301041421101), we get a palindrome (402165561204).

The spelling of 101124140103 in words is "one hundred one billion, one hundred twenty-four million, one hundred forty thousand, one hundred three".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 1553 2961 4659 10871 13977 21991 32613 65973 72991 97839 153937 197919 218973 461811 510937 656919 1033577 1385433 1532811 3100731 4598433 7235039 9302193 21705117 34152023 65115351 102456069 239064161 307368207 717192483 1605145081 2151577449 4815435243 11236015567 14446305729 33708046701 101124140103