Search a number
-
+
101323001220331 = 11411197591875959
BaseRepresentation
bin10111000010011100011001…
…011111101100110011101011
3111021202101101011112001002011
4113002130121133230303223
5101240034001303022311
6555255051050220351
730225226266025222
oct2702343137546353
9437671334461064
10101323001220331
112a314930781670
12b4450b01246b7
13446c944638b17
141b040b90c5cb9
15baa99cb96321
hex5c27197ecceb

101323001220331 has 16 divisors (see below), whose sum is σ = 113231144678400. Its totient is φ = 89864391265600.

The previous prime is 101323001220283. The next prime is 101323001220437. The reversal of 101323001220331 is 133022100323101.

It is a cyclic number.

It is not a de Polignac number, because 101323001220331 - 217 = 101323001089259 is a prime.

It is a super-2 number, since 2×1013230012203312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101323001220131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53073330 + ... + 54949288.

It is an arithmetic number, because the mean of its divisors is an integer number (7076946542400).

Almost surely, 2101323001220331 is an apocalyptic number.

101323001220331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101323001220331 is a deficient number, since it is larger than the sum of its proper divisors (11908143458069).

101323001220331 is a wasteful number, since it uses less digits than its factorization.

101323001220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995770.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101323001220331 its reverse (133022100323101), we get a palindrome (234345101543432).

The spelling of 101323001220331 in words is "one hundred one trillion, three hundred twenty-three billion, one million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 11 41 451 119759 1317349 1875959 4910119 20635549 54011309 76914319 846057509 224662973881 2471292712691 9211181929121 101323001220331