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101314232404 = 227211163288293
BaseRepresentation
bin101111001011011001…
…1001000000001010100
3100200111202121021011221
41132112303020001110
53124442420414104
6114313151340124
710214442523600
oct1362663100124
9320452537157
10101314232404
1139a70274390
1217775b21644
139727b8b858
144c91808500
15297e7dbc54
hex1796cc8054

101314232404 has 72 divisors (see below), whose sum is σ = 226377674208. Its totient is φ = 39230775360.

The previous prime is 101314232401. The next prime is 101314232407. The reversal of 101314232404 is 404232413101.

It is an interprime number because it is at equal distance from previous prime (101314232401) and next prime (101314232407).

It is a super-2 number, since 2×1013142324042 (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 (101314232401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207282 + ... + 495574.

It is an arithmetic number, because the mean of its divisors is an integer number (3144134364).

Almost surely, 2101314232404 is an apocalyptic number.

101314232404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101314232404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113188837104).

101314232404 is an abundant number, since it is smaller than the sum of its proper divisors (125063441804).

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

101314232404 is a wasteful number, since it uses less digits than its factorization.

101314232404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288485 (or 288476 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101314232404 its reverse (404232413101), we get a palindrome (505546645505).

The spelling of 101314232404 in words is "one hundred one billion, three hundred fourteen million, two hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 163 196 308 326 539 652 1078 1141 1793 2156 2282 3586 4564 7172 7987 12551 15974 25102 31948 50204 87857 175714 288293 351428 576586 1153172 2018051 3171223 4036102 6342446 8072204 12684892 14126357 22198561 28252714 44397122 46991759 56505428 88794244 93983518 155389927 187967036 310779854 328942313 516909349 621559708 657884626 1033818698 1315769252 2067637396 2302596191 3618365443 4605192382 7236730886 9210384764 14473461772 25328558101 50657116202 101314232404