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101313414202 = 272111321929269
BaseRepresentation
bin101111001011011000…
…0000000010000111010
3100200111201001200211011
41132112300000100322
53124442213223302
6114313122024134
710214432545300
oct1362660002072
9320451050734
10101313414202
1139a6a865690
12177757a804a
139727963300
144c91674270
15297e6c95d7
hex1796c0043a

101313414202 has 144 divisors (see below), whose sum is σ = 219827066400. Its totient is φ = 34517508480.

The previous prime is 101313414151. The next prime is 101313414253. The reversal of 101313414202 is 202414313101.

It is an interprime number because it is at equal distance from previous prime (101313414151) and next prime (101313414253).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3446824 + ... + 3476092.

It is an arithmetic number, because the mean of its divisors is an integer number (1526576850).

Almost surely, 2101313414202 is an apocalyptic number.

101313414202 is an abundant number, since it is smaller than the sum of its proper divisors (118513652198).

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

101313414202 is a wasteful number, since it uses less digits than its factorization.

101313414202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29341 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101313414202 its reverse (202414313101), we get a palindrome (303727727303).

It can be divided in two parts, 101313 and 414202, that added together give a palindrome (515515).

The spelling of 101313414202 in words is "one hundred one billion, three hundred thirteen million, four hundred fourteen thousand, two hundred two".

Divisors: 1 2 7 11 13 14 19 22 26 38 49 77 91 98 133 143 154 169 182 209 247 266 286 338 418 494 539 637 931 1001 1078 1183 1274 1463 1729 1859 1862 2002 2366 2717 2926 3211 3458 3718 5434 6422 7007 8281 10241 12103 13013 14014 16562 19019 20482 22477 24206 26026 29269 35321 38038 44954 58538 70642 91091 133133 157339 182182 204883 247247 266266 314678 321959 380497 409766 494494 556111 643918 760994 1112222 1434181 1730729 2253713 2663479 2868362 3461458 3892777 4185467 4507426 4946461 5326958 6117221 7229443 7785554 8370934 9892922 12234442 14458886 15775991 18644353 27249439 29298269 31551982 34625227 37288706 42820547 50606101 54411071 54498878 58596538 69250454 79523873 85641094 93982759 101212202 108822142 159047746 187965518 205087883 242376589 299743829 354242707 380877497 410175766 484753178 556667111 599487658 657879313 708485414 761754994 1033810349 1113334222 1315758626 2067620698 2666142479 3896669777 4605155191 5332284958 7236672443 7793339554 9210310382 14473344886 50656707101 101313414202