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101001241341030 = 235127259310223491
BaseRepresentation
bin10110111101110000101111…
…000111001010110001100110
3111020121121212011112121112110
4112331300233013022301212
5101214301020240403110
6554451155115301450
730163045626131322
oct2675605707126146
9436547764477473
10101001241341030
112a200427704a48
12b3b287344a886
1344484b764bcb4
141ad26b406a982
15ba2419edaa20
hex5bdc2f1cac66

101001241341030 has 64 divisors (see below), whose sum is σ = 244405907693568. Its totient is φ = 26711280368640.

The previous prime is 101001241340977. The next prime is 101001241341047. The reversal of 101001241341030 is 30143142100101.

It is a super-2 number, since 2×1010012413410302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001241340988 and 101001241341006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4767585 + ... + 14991075.

It is an arithmetic number, because the mean of its divisors is an integer number (3818842307712).

Almost surely, 2101001241341030 is an apocalyptic number.

101001241341030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001241341030 is an abundant number, since it is smaller than the sum of its proper divisors (143404666352538).

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

101001241341030 is a wasteful number, since it uses less digits than its factorization.

101001241341030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226221.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101001241341030 its reverse (30143142100101), we get a palindrome (131144383441131).

The spelling of 101001241341030 in words is "one hundred one trillion, one billion, two hundred forty-one million, three hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 2593 3810 5186 7779 12965 15558 25930 38895 77790 329311 658622 987933 1646555 1975866 3293110 4939665 9879330 10223491 20446982 30670473 51117455 61340946 102234910 153352365 306704730 1298383357 2596766714 3895150071 6491916785 7790300142 12983833570 19475750355 26509512163 38951500710 53019024326 79528536489 132547560815 159057072978 265095121630 397642682445 795285364890 3366708044701 6733416089402 10100124134103 16833540223505 20200248268206 33667080447010 50500620670515 101001241341030