Search a number
-
+
11034120001104 = 243325541944447
BaseRepresentation
bin1010000010010001010011…
…0011011001011001010000
31110001211222210110022201000
42200210110303121121100
52421240334210013404
635245001005342000
72216121531333234
oct240442463313120
943054883408630
1011034120001104
1135745a9099832
1212a25a0567900
13620689235115
142a20a8c505c4
15142051d5e339
hexa0914cd9650

11034120001104 has 40 divisors (see below), whose sum is σ = 31672011115520. Its totient is φ = 3678040000224.

The previous prime is 11034120001087. The next prime is 11034120001127. The reversal of 11034120001104 is 40110002143011.

11034120001104 is a `hidden beast` number, since 1 + 10 + 341 + 200 + 0 + 110 + 4 = 666.

It is a super-2 number, since 2×110341200011042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12770971792 + ... + 12770972655.

It is an arithmetic number, because the mean of its divisors is an integer number (791800277888).

Almost surely, 211034120001104 is an apocalyptic number.

It is an amenable number.

11034120001104 is an abundant number, since it is smaller than the sum of its proper divisors (20637891114416).

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

11034120001104 is a wasteful number, since it uses less digits than its factorization.

11034120001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25541944464 (or 25541944452 counting only the distinct ones).

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

Adding to 11034120001104 its reverse (40110002143011), we get a palindrome (51144122144115).

The spelling of 11034120001104 in words is "eleven trillion, thirty-four billion, one hundred twenty million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 25541944447 51083888894 76625833341 102167777788 153251666682 204335555576 229877500023 306503333364 408671111152 459755000046 613006666728 689632500069 919510000092 1226013333456 1379265000138 1839020000184 2758530000276 3678040000368 5517060000552 11034120001104