Search a number
-
+
1101120144000 = 2735322940003
BaseRepresentation
bin10000000001011111111…
…000000000001010000000
310220021011221210222102120
4100001133320000022000
5121020043224102000
62201503030044240
7142360532536332
oct20013770001200
93807157728376
101101120144000
11394a89684838
121594a2aa9680
137cab1b8ca86
143b41a16b452
151d998eb56a0
hex1005fe00280

1101120144000 has 128 divisors (see below), whose sum is σ = 3650213436480. Its totient is φ = 293632025600.

The previous prime is 1101120143909. The next prime is 1101120144001. The reversal of 1101120144000 is 4410211011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1101120144001) 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, 11422002 + ... + 11518001.

Almost surely, 21101120144000 is an apocalyptic number.

1101120144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101120144000 is an abundant number, since it is smaller than the sum of its proper divisors (2549093292480).

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

1101120144000 is an equidigital number, since it uses as much as digits as its factorization.

1101120144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22940035 (or 22940013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1101120144000 its reverse (4410211011), we get a palindrome (1105530355011).

The spelling of 1101120144000 in words is "one trillion, one hundred one billion, one hundred twenty million, one hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 22940003 45880006 68820009 91760012 114700015 137640018 183520024 229400030 275280036 344100045 367040048 458800060 550560072 573500075 688200090 734080096 917600120 1101120144 1147000150 1376400180 1468160192 1720500225 1835200240 2202240288 2294000300 2752800360 2867500375 2936320384 3441000450 3670400480 4404480576 4588000600 5505600720 5735000750 6882000900 7340800960 8602501125 8808961152 9176001200 11011201440 11470001500 13764001800 14681601920 17205002250 18352002400 22022402880 22940003000 27528003600 34410004500 36704004800 44044805760 45880006000 55056007200 68820009000 73408009600 91760012000 110112014400 137640018000 183520024000 220224028800 275280036000 367040048000 550560072000 1101120144000