Search a number
-
+
101101000104 = 233213313484319
BaseRepresentation
bin101111000101000010…
…1101101010110101000
3100122221220100221110100
41132022011231112220
53124023324000404
6114240053145400
710206243215226
oct1361205552650
9318856327410
10101101000104
1139970973845
121771662b260
1396c29506b0
144c7137db16
15296ac1bd39
hex178a16d5a8

101101000104 has 96 divisors (see below), whose sum is σ = 304390195200. Its totient is φ = 30104507520.

The previous prime is 101101000003. The next prime is 101101000127. The reversal of 101101000104 is 401000101101.

101101000104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713144 + ... + 1771175.

It is an arithmetic number, because the mean of its divisors is an integer number (3170731200).

Almost surely, 2101101000104 is an apocalyptic number.

It is an amenable number.

101101000104 is an abundant number, since it is smaller than the sum of its proper divisors (203289195096).

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

101101000104 is a wasteful number, since it uses less digits than its factorization.

101101000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484375 (or 3484368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101000104 its reverse (401000101101), we get a palindrome (502101101205).

The spelling of 101101000104 in words is "one hundred one billion, one hundred one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 3484319 6968638 10452957 13937276 20905914 27874552 31358871 41811828 45296147 62717742 83623656 90592294 108013889 125435484 135888441 181184588 216027778 250870968 271776882 324041667 362369176 407665323 432055556 543553764 648083334 815330646 864111112 972125001 1087107528 1296166668 1404180557 1630661292 1944250002 2592333336 2808361114 3261322584 3888500004 4212541671 5616722228 7777000008 8425083342 11233444456 12637625013 16850166684 25275250026 33700333368 50550500052 101101000104