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101101001172 = 22317495593143
BaseRepresentation
bin101111000101000010…
…1101101100111010100
3100122221220100222220220
41132022011231213110
53124023324014142
6114240053154340
710206243221313
oct1361205554724
9318856328826
10101101001172
1139970974626
121771662b9b0
1396c2951022
144c7138027a
15296ac1c2ec
hex178a16d9d4

101101001172 has 24 divisors (see below), whose sum is σ = 249778944576. Its totient is φ = 31717961088.

The previous prime is 101101001171. The next prime is 101101001207. The reversal of 101101001172 is 271100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247796368 + ... + 247796775.

It is an arithmetic number, because the mean of its divisors is an integer number (10407456024).

Almost surely, 2101101001172 is an apocalyptic number.

101101001172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101001172 is an abundant number, since it is smaller than the sum of its proper divisors (148677943404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101001172 is a wasteful number, since it uses less digits than its factorization.

101101001172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495593167 (or 495593165 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 101101001172 its reverse (271100101101), we get a palindrome (372201102273).

The spelling of 101101001172 in words is "one hundred one billion, one hundred one million, one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 495593143 991186286 1486779429 1982372572 2973558858 5947117716 8425083431 16850166862 25275250293 33700333724 50550500586 101101001172