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2123312000 = 2753132707
BaseRepresentation
bin111111010001111…
…0010101110000000
312110222101102111012
41332203302232000
513322031441000
6550405540052
7103421565665
oct17643625600
95428342435
102123312000
1199a610807
124b3114628
1327ab90944
14161dd7a6c
15c661e735
hex7e8f2b80

2123312000 has 64 divisors (see below), whose sum is σ = 5279124240. Its totient is φ = 849318400.

The previous prime is 2123311987. The next prime is 2123312003. The reversal of 2123312000 is 2133212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50354 + ... + 82353.

Almost surely, 22123312000 is an apocalyptic number.

2123312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123312000 is an abundant number, since it is smaller than the sum of its proper divisors (3155812240).

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

2123312000 is an equidigital number, since it uses as much as digits as its factorization.

2123312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132736 (or 132714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2123312000 is about 46079.4097184415. The cubic root of 2123312000 is about 1285.3002876364.

Adding to 2123312000 its reverse (2133212), we get a palindrome (2125445212).

It can be divided in two parts, 21233 and 12000, that added together give a palindrome (33233).

The spelling of 2123312000 in words is "two billion, one hundred twenty-three million, three hundred twelve 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 132707 265414 530828 663535 1061656 1327070 2123312 2654140 3317675 4246624 5308280 6635350 8493248 10616560 13270700 16588375 16986496 21233120 26541400 33176750 42466240 53082800 66353500 84932480 106165600 132707000 212331200 265414000 424662400 530828000 1061656000 2123312000