Search a number
-
+
101026041116 = 227111325231279
BaseRepresentation
bin101111000010110011…
…1110000110100011100
3100122202200022122001112
41132011213300310130
53123400131303431
6114224414401152
710204343116010
oct1360547606434
9318680278045
10101026041116
1139932625a70
12176b55001b8
1396b0266970
144c6542a540
152964361c2b
hex17859f0d1c

101026041116 has 48 divisors (see below), whose sum is σ = 237375882240. Its totient is φ = 36333040320.

The previous prime is 101026041101. The next prime is 101026041119. The reversal of 101026041116 is 611140620101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101026041091 and 101026041100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101026041119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12611636 + ... + 12619643.

It is an arithmetic number, because the mean of its divisors is an integer number (4945330880).

Almost surely, 2101026041116 is an apocalyptic number.

It is an amenable number.

101026041116 is an abundant number, since it is smaller than the sum of its proper divisors (136349841124).

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

101026041116 is a wasteful number, since it uses less digits than its factorization.

101026041116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25231314 (or 25231312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101026041116 its reverse (611140620101), we get a palindrome (712166661217).

The spelling of 101026041116 in words is "one hundred one billion, twenty-six million, forty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 25231279 50462558 100925116 176618953 277544069 328006627 353237906 555088138 656013254 706475812 1110176276 1312026508 1942808483 2296046389 3608072897 3885616966 4592092778 7216145794 7771233932 9184185556 14432291588 25256510279 50513020558 101026041116