Search a number
-
+
1101061010016 = 253311115852379
BaseRepresentation
bin10000000001011100010…
…110011011001001100000
310220021000211112122212000
4100001130112123021200
5121014433104310031
62201453114404000
7142356214110132
oct20013426331140
93807024478760
101101061010016
11394a59265580
12159487130600
137caa2857056
143b412377052
151d993bd43e6
hex1005c59b260

1101061010016 has 96 divisors (see below), whose sum is σ = 3503375971200. Its totient is φ = 333654848640.

The previous prime is 1101061009973. The next prime is 1101061010081. The reversal of 1101061010016 is 6100101601011.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57916686 + ... + 57935693.

It is an arithmetic number, because the mean of its divisors is an integer number (36493499700).

Almost surely, 21101061010016 is an apocalyptic number.

1101061010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101061010016 is an abundant number, since it is smaller than the sum of its proper divisors (2402314961184).

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

1101061010016 is a wasteful number, since it uses less digits than its factorization.

1101061010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115852409 (or 115852395 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1101061010016 its reverse (6100101601011), we get a palindrome (7201162611027).

The spelling of 1101061010016 in words is "one trillion, one hundred one billion, sixty-one million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 115852379 231704758 347557137 463409516 695114274 926819032 1042671411 1274376169 1390228548 1853638064 2085342822 2548752338 2780457096 3128014233 3707276128 3823128507 4170685644 5097504676 5560914192 6256028466 7646257014 8341371288 10195009352 11121828384 11469385521 12512056932 15292514028 16682742576 20390018704 22938771042 25024113864 30585028056 33365485152 34408156563 40780037408 45877542084 50048227728 61170056112 68816313126 91755084168 100096455456 122340112224 137632626252 183510168336 275265252504 367020336672 550530505008 1101061010016