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101731227741 = 321113571138433
BaseRepresentation
bin101111010111110100…
…1110101100001011101
3100201120211020211020200
41132233221311201131
53131321143241431
6114422405134113
710230665111463
oct1365751654135
9321524224220
10101731227741
113a164698130
12178716ba339
1397933a0a60
144cd0d54833
1529a620aee6
hex17afa7585d

101731227741 has 48 divisors (see below), whose sum is σ = 172938397632. Its totient is φ = 56812492800.

The previous prime is 101731227733. The next prime is 101731227781. The reversal of 101731227741 is 147722137101.

It is not a de Polignac number, because 101731227741 - 23 = 101731227733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101731227696 and 101731227705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101731227781) 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, 665661 + ... + 804093.

It is an arithmetic number, because the mean of its divisors is an integer number (3602883284).

Almost surely, 2101731227741 is an apocalyptic number.

101731227741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101731227741 is a deficient number, since it is larger than the sum of its proper divisors (71207169891).

101731227741 is a wasteful number, since it uses less digits than its factorization.

101731227741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139034 (or 139031 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 101731227741 in words is "one hundred one billion, seven hundred thirty-one million, two hundred twenty-seven thousand, seven hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 571 1287 1713 5139 6281 7423 18843 22269 56529 66807 81653 138433 244959 415299 734877 1245897 1522763 1799629 4568289 5398887 13704867 16196661 19795919 59387757 79045243 178163271 237135729 711407187 869497673 1027588159 2608493019 3082764477 7825479057 9248293431 11303469749 33910409247 101731227741