Search a number
-
+
113010312100122 = 232106127772130857
BaseRepresentation
bin11001101100100001000011…
…100000100011100100011010
3112211010200100221212000120100
4121230201003200203210122
5104303030104344200442
61040204115355240230
732542503612262533
oct3154410340434432
9484120327760510
10113010312100122
113301044a00a368
12108121a4a49076
134b09a99365048
141dc9a2a5dd68a
15d0e9ce41384c
hex66c84382391a

113010312100122 has 48 divisors (see below), whose sum is σ = 245174825317032. Its totient is φ = 37621029788160.

The previous prime is 113010312100117. The next prime is 113010312100151. The reversal of 113010312100122 is 221001213010311.

113010312100122 is a `hidden beast` number, since 1 + 1 + 301 + 0 + 31 + 210 + 0 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75226289009481 + 37784023090641 = 8673309^2 + 6146871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113010312100095 and 113010312100104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51969718 + ... + 54100574.

Almost surely, 2113010312100122 is an apocalyptic number.

113010312100122 is an abundant number, since it is smaller than the sum of its proper divisors (132164513216910).

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

113010312100122 is a wasteful number, since it uses less digits than its factorization.

113010312100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134703 (or 2134700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113010312100122 its reverse (221001213010311), we get a palindrome (334011525110433).

The spelling of 113010312100122 in words is "one hundred thirteen trillion, ten billion, three hundred twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1061 2122 2777 3183 5554 6366 8331 9549 16662 19098 24993 49986 2130857 2946397 4261714 5892794 6392571 8839191 12785142 17678382 19177713 26517573 38355426 53035146 2260839277 4521678554 5917389889 6782517831 11834779778 13565035662 17752169667 20347553493 35504339334 40695106986 53256509001 106513018002 6278350672229 12556701344458 18835052016687 37670104033374 56505156050061 113010312100122