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1106001120 = 25357329167
BaseRepresentation
bin100000111101100…
…0011110011100000
32212002010200022110
41001323003303200
54231114013440
6301425235320
736256566030
oct10173036340
92762120273
101106001120
11518344014
1226a492b40
131481a2343
14a6c618c0
156716e080
hex41ec3ce0

1106001120 has 96 divisors (see below), whose sum is σ = 3981616128. Its totient is φ = 252799488.

The previous prime is 1106001089. The next prime is 1106001121. The reversal of 1106001120 is 211006011.

It is a happy number.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1106001096 and 1106001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161224 + ... + 167943.

It is an arithmetic number, because the mean of its divisors is an integer number (41475168).

Almost surely, 21106001120 is an apocalyptic number.

1106001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106001120 is an abundant number, since it is smaller than the sum of its proper divisors (2875615008).

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

1106001120 is a wasteful number, since it uses less digits than its factorization.

1106001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329192 (or 329184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1106001120 is about 33256.5951354013. The cubic root of 1106001120 is about 1034.1539352820.

Adding to 1106001120 its reverse (211006011), we get a palindrome (1317007131).

The spelling of 1106001120 in words is "one billion, one hundred six million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 329167 658334 987501 1316668 1645835 1975002 2304169 2633336 3291670 3950004 4608338 4937505 5266672 6583340 6912507 7900008 9216676 9875010 10533344 11520845 13166680 13825014 15800016 18433352 19750020 23041690 26333360 27650028 31600032 34562535 36866704 39500040 46083380 52666720 55300056 69125070 73733408 79000080 92166760 110600112 138250140 158000160 184333520 221200224 276500280 368667040 553000560 1106001120