Search a number
-
+
112151504000 = 27537009469
BaseRepresentation
bin110100001110011000…
…0000010010010000000
3101201111000211201000102
41220130300002102000
53314141241112000
6123304403541532
711050135024604
oct1503460022200
9351430751012
10112151504000
1143621666998
121989b38a8a8
13a76417b8b3
1455dcc39504
152db5e353d5
hex1a1cc02480

112151504000 has 64 divisors (see below), whose sum is σ = 278836716600. Its totient is φ = 44860595200.

The previous prime is 112151503999. The next prime is 112151504009. The reversal of 112151504000 is 405151211.

It can be written as a sum of positive squares in 4 ways, for example, as 12855931456 + 99295572544 = 113384^2 + 315112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (112151504009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488735 + ... + 3520734.

Almost surely, 2112151504000 is an apocalyptic number.

112151504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112151504000 is an abundant number, since it is smaller than the sum of its proper divisors (166685212600).

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

112151504000 is an frugal number, since it uses more digits than its factorization.

112151504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009498 (or 7009476 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 112151504000 its reverse (405151211), we get a palindrome (112556655211).

The spelling of 112151504000 in words is "one hundred twelve billion, one hundred fifty-one million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 7009469 14018938 28037876 35047345 56075752 70094690 112151504 140189380 175236725 224303008 280378760 350473450 448606016 560757520 700946900 876183625 897212032 1121515040 1401893800 1752367250 2243030080 2803787600 3504734500 4486060160 5607575200 7009469000 11215150400 14018938000 22430300800 28037876000 56075752000 112151504000