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101111030213141 = 132959101149379797
BaseRepresentation
bin10110111111010110111111…
…000010011110101000010101
3111021000010020112200011220002
4112333112333002132220111
5101223100342213310031
6555013433244021045
730204013405136504
oct2677267702365025
9437003215604802
10101111030213141
112a242a466615a3
12b40bbb3531785
134455963196850
141ad7b2b1b283b
15ba51e37cbccb
hex5bf5bf09ea15

101111030213141 has 128 divisors (see below), whose sum is σ = 116917214400000. Its totient is φ = 86782839091200.

The previous prime is 101111030213111. The next prime is 101111030213227. The reversal of 101111030213141 is 141312030111101.

It is not a de Polignac number, because 101111030213141 - 26 = 101111030213077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111030213101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126864529355 + ... + 126864530151.

It is an arithmetic number, because the mean of its divisors is an integer number (913415737500).

Almost surely, 2101111030213141 is an apocalyptic number.

It is an amenable number.

101111030213141 is a deficient number, since it is larger than the sum of its proper divisors (15806184186859).

101111030213141 is a wasteful number, since it uses less digits than its factorization.

101111030213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101111030213141 its reverse (141312030111101), we get a palindrome (242423060324242).

The spelling of 101111030213141 in words is "one hundred one trillion, one hundred eleven billion, thirty million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 13 29 59 101 149 377 379 767 797 1313 1711 1937 2929 4321 4927 5959 8791 10361 10991 15049 22243 22361 23113 38077 38279 47023 56173 56471 77467 80497 114283 118753 142883 172811 195637 254939 290693 300469 302063 436421 497627 611299 648469 734123 887891 1046461 1110091 1363667 1543789 1637659 2246543 2258461 2334413 3314207 3331789 3443837 3926819 4749323 5673473 5703571 7006427 8430097 8759827 11542583 11994053 14431183 17727671 17821717 21289567 25748839 29359993 30347369 30508363 43313257 44769881 45007387 61741199 65495369 74146423 91083551 96621881 113877751 137730367 155922689 165403559 203186383 231682321 334734907 336510689 347827537 396608719 516829793 585096031 707649127 851439797 884742527 1256084453 1305214223 1790494771 1799993417 2150246267 2641422979 2655435833 4374638957 4521757981 4545746087 6718787309 9199438651 9758809981 11501652851 16967784899 20521824683 23399914421 34520665829 52199809093 59094699131 77007639157 126864529753 131826636523 266783720879 268199019133 678597518209 1001099309041 1713746274799 3486587248729 7777771554857 101111030213141