Search a number
-
+
101001100221112 = 23721398909200383
BaseRepresentation
bin10110111101110000100110…
…101100110101101010111000
3111020121121111022222222101211
4112331300212230311222320
5101214300223124033422
6554451133114452504
730163042263465100
oct2675604654655270
9436547438888354
10101001100221112
112a200364a88513
12b3b2834134134
13444849433bca0
141ad269d414200
15ba240c912577
hex5bdc26b35ab8

101001100221112 has 96 divisors (see below), whose sum is σ = 237245177836800. Its totient is φ = 39955875837696.

The previous prime is 101001100221103. The next prime is 101001100221221. The reversal of 101001100221112 is 211122001100101.

It is a happy number.

It is a super-2 number, since 2×1010011002211122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101001100221092 and 101001100221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503940073 + ... + 504140455.

It is an arithmetic number, because the mean of its divisors is an integer number (2471303935800).

Almost surely, 2101001100221112 is an apocalyptic number.

It is an amenable number.

101001100221112 is an abundant number, since it is smaller than the sum of its proper divisors (136244077615688).

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

101001100221112 is a wasteful number, since it uses less digits than its factorization.

101001100221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299325 (or 299314 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001100221112 its reverse (211122001100101), we get a palindrome (312123101321213).

The spelling of 101001100221112 in words is "one hundred one trillion, one billion, one hundred million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 98909 197818 200383 395636 400766 692363 791272 801532 1285817 1384726 1402681 1603064 2571634 2604979 2769452 2805362 4846541 5143268 5209958 5538904 5610724 9000719 9693082 9818767 10286536 10419916 11221448 18001438 18234853 19386164 19637534 20839832 36002876 36469706 38772328 39275068 63005033 72005752 72939412 78550136 126010066 127643971 145878824 252020132 255287942 504040264 510575884 1021151768 19819682147 39639364294 79278728588 138737775029 158557457176 257655867911 277475550058 515311735822 554951100116 971164425203 1030623471644 1109902200232 1803591075377 1942328850406 2061246943288 3607182150754 3884657700812 7214364301508 7769315401624 12625137527639 14428728603016 25250275055278 50500550110556 101001100221112