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110133223040 = 275172083161
BaseRepresentation
bin110011010010001110…
…0111001111010000000
3101112021101002102000202
41212210130321322000
53301023101114130
6122332225104332
710646126643551
oct1464434717200
9345241072022
10110133223040
11427863735a5
12194174880a8
13a501ca36c9
14548ab82328
152ce8b61145
hex19a4739e80

110133223040 has 32 divisors (see below), whose sum is σ = 263287237860. Its totient is φ = 44053288960.

The previous prime is 110133223007. The next prime is 110133223099. The reversal of 110133223040 is 40322331011.

It can be written as a sum of positive squares in 2 ways, for example, as 95352499264 + 14780723776 = 308792^2 + 121576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86040941 + ... + 86042220.

Almost surely, 2110133223040 is an apocalyptic number.

110133223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110133223040 is an abundant number, since it is smaller than the sum of its proper divisors (153154014820).

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

110133223040 is an equidigital number, since it uses as much as digits as its factorization.

110133223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172083180 (or 172083168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 110133223040 its reverse (40322331011), we get a palindrome (150455554051).

The spelling of 110133223040 in words is "one hundred ten billion, one hundred thirty-three million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 172083161 344166322 688332644 860415805 1376665288 1720831610 2753330576 3441663220 5506661152 6883326440 11013322304 13766652880 22026644608 27533305760 55066611520 110133223040