Search a number
-
+
110821078404 = 223211324912
BaseRepresentation
bin110011100110101110…
…0110111010110000100
3101121001022102002012100
41213031130313112010
53303430144002104
6122524400152100
711002151424021
oct1471534672604
9347038362170
10110821078404
1142aa9678503
1219589908630
13a5b165000a
145514278548
152d39235139
hex19cd737584

110821078404 has 81 divisors (see below), whose sum is σ = 283208831269. Its totient is φ = 36538884480.

The previous prime is 110821078387. The next prime is 110821078427. The reversal of 110821078404 is 404870128011.

The square root of 110821078404 is 332898.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1952756100 + 108868322304 = 44190^2 + 329952^2 .

It is a super-2 number, since 2×1108210784042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225704599 + ... + 225705089.

Almost surely, 2110821078404 is an apocalyptic number.

110821078404 is the 332898-th square number.

It is an amenable number.

110821078404 is an abundant number, since it is smaller than the sum of its proper divisors (172387752865).

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

110821078404 is an equidigital number, since it uses as much as digits as its factorization.

110821078404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Multiplying 110821078404 by its sum of digits (36), we get a square (3989558822544 = 19973882).

110821078404 divided by its sum of digits (36) gives a square (3078363289 = 554832).

The spelling of 110821078404 in words is "one hundred ten billion, eight hundred twenty-one million, seventy-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 491 678 982 1017 1356 1473 1964 2034 2946 4068 4419 5892 8838 12769 17676 25538 38307 51076 55483 76614 110966 114921 153228 166449 221932 229842 241081 332898 459684 482162 499347 665796 723243 964324 998694 1446486 1997388 2169729 2892972 4339458 6269579 8678916 12539158 18808737 25078316 27242153 37617474 54484306 56426211 75234948 81726459 108968612 112852422 163452918 225704844 245179377 326905836 490358754 980717508 3078363289 6156726578 9235089867 12313453156 18470179734 27705269601 36940359468 55410539202 110821078404