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101142514005 = 35132333222323
BaseRepresentation
bin101111000110010010…
…0000100100101010101
3100200001210111001211020
41132030210010211111
53124114440422010
6114244135031353
710210256120061
oct1361444044525
9320053431736
10101142514005
1139992348855
121772850b559
1396cb427330
144c76aa8aa1
15296e6bc470
hex178c904955

101142514005 has 32 divisors (see below), whose sum is σ = 174351816576. Its totient is φ = 49771670784.

The previous prime is 101142514003. The next prime is 101142514037. The reversal of 101142514005 is 500415241101.

It is not a de Polignac number, because 101142514005 - 21 = 101142514003 is a prime.

It is a super-2 number, since 2×1011425140052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142514003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343774 + ... + 566096.

It is an arithmetic number, because the mean of its divisors is an integer number (5448494268).

Almost surely, 2101142514005 is an apocalyptic number.

101142514005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101142514005 is a deficient number, since it is larger than the sum of its proper divisors (73209302571).

101142514005 is a wasteful number, since it uses less digits than its factorization.

101142514005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224677.

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 101142514005 its reverse (500415241101), we get a palindrome (601557755106).

The spelling of 101142514005 in words is "one hundred one billion, one hundred forty-two million, five hundred fourteen thousand, five".

Divisors: 1 3 5 13 15 39 65 195 2333 6999 11665 30329 34995 90987 151645 222323 454935 666969 1111615 2890199 3334845 8670597 14450995 43352985 518679559 1556038677 2593397795 6742834267 7780193385 20228502801 33714171335 101142514005