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11106102042 = 23271992331901
BaseRepresentation
bin10100101011111100…
…11010101100011010
31001200000002102212200
422111332122230122
5140221130231132
65034014151030
7542135211150
oct122576325432
931600072780
1011106102042
11478a117932
12219b4b2476
13107cbc6719
1477500d3d0
1545004bd7c
hex295f9ab1a

11106102042 has 96 divisors (see below), whose sum is σ = 27772243200. Its totient is φ = 3142022400.

The previous prime is 11106102037. The next prime is 11106102043. The reversal of 11106102042 is 24020160111.

11106102042 is a `hidden beast` number, since 1 + 1 + 10 + 610 + 2 + 0 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11106102043) 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 47 ways as a sum of consecutive naturals, for example, 5841292 + ... + 5843192.

It is an arithmetic number, because the mean of its divisors is an integer number (289294200).

Almost surely, 211106102042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106102042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886121600).

11106102042 is an abundant number, since it is smaller than the sum of its proper divisors (16666141158).

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

11106102042 is a wasteful number, since it uses less digits than its factorization.

11106102042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11106102042 its reverse (24020160111), we get a palindrome (35126262153).

The spelling of 11106102042 in words is "eleven billion, one hundred six million, one hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 233 398 466 597 699 1194 1393 1398 1631 1791 1901 2097 2786 3262 3582 3802 4179 4194 4893 5703 8358 9786 11406 12537 13307 14679 17109 25074 26614 29358 34218 39921 46367 79842 92734 119763 139101 239526 278202 324569 378299 417303 442933 649138 756598 834606 885866 973707 1134897 1328799 1947414 2269794 2648093 2657598 2921121 3100531 3404691 3986397 5296186 5842242 6201062 6809382 7944279 7972794 9301593 15888558 18603186 23832837 27904779 47665674 55809558 88143667 176287334 264431001 528862002 617005669 793293003 1234011338 1586586006 1851017007 3702034014 5553051021 11106102042