Search a number
-
+
100100010108954 = 23172415326565947
BaseRepresentation
bin10110110000101001011001…
…100010110110100000011010
3111010102110121210222110102010
4112300221121202312200122
5101110014310041441304
6552521150530250350
730040662365063022
oct2660513142664032
9433373553873363
10100100010108954
11299931a3117289
12b288076a269b6
1343b150ca849cb
141aa0c1b344a82
15b88c6e854789
hex5b0a598b681a

100100010108954 has 96 divisors (see below), whose sum is σ = 221966784115776. Its totient is φ = 30059899217920.

The previous prime is 100100010108953. The next prime is 100100010108961. The reversal of 100100010108954 is 459801010001001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100100010108953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9514992 + ... + 17050955.

It is an arithmetic number, because the mean of its divisors is an integer number (2312154001206).

Almost surely, 2100100010108954 is an apocalyptic number.

100100010108954 is an abundant number, since it is smaller than the sum of its proper divisors (121866774006822).

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

100100010108954 is a wasteful number, since it uses less digits than its factorization.

100100010108954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26566080 (or 26566063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

Adding to 100100010108954 its reverse (459801010001001), we get a palindrome (559901020109955).

The spelling of 100100010108954 in words is "one hundred trillion, one hundred billion, ten million, one hundred eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 17 34 41 51 53 82 102 106 123 159 246 289 318 578 697 867 901 1394 1734 1802 2091 2173 2703 4182 4346 5406 6519 11849 13038 15317 23698 30634 35547 36941 45951 71094 73882 91902 110823 221646 627997 1255994 1883991 3767982 26565947 53131894 79697841 159395682 451621099 903242198 1089203827 1354863297 1407995191 2178407654 2709726594 2815990382 3267611481 4223985573 6535222962 7677558683 8447971146 15355117366 18516465059 23032676049 23935918247 37032930118 46065352098 47871836494 55549395177 57727802831 71807754741 111098790354 115455605662 143615509482 173183408493 314779906003 346366816986 406910610199 629559812006 813821220398 944339718009 981372648127 1220731830597 1888679436018 1962745296254 2441463661194 2944117944381 5888235888762 16683335018159 33366670036318 50050005054477 100100010108954