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2123321000 = 23534494729
BaseRepresentation
bin111111010001111…
…0100111010101000
312110222101212211112
41332203310322220
513322032233000
6550410045452
7103421634143
oct17643647250
95428355745
102123321000
1199a617549
124b3119888
1327ab94a78
14161ddb05a
15c6622235
hex7e8f4ea8

2123321000 has 64 divisors (see below), whose sum is σ = 4980690000. Its totient is φ = 847257600.

The previous prime is 2123320993. The next prime is 2123321009. The reversal of 2123321000 is 1233212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15225604 + 2108095396 = 3902^2 + 45914^2 .

It is not an unprimeable number, because it can be changed into a prime (2123321009) 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, 446636 + ... + 451364.

Almost surely, 22123321000 is an apocalyptic number.

2123321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490345000).

2123321000 is an abundant number, since it is smaller than the sum of its proper divisors (2857369000).

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

2123321000 is a wasteful number, since it uses less digits than its factorization.

2123321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5185 counting only the distinct ones).

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

The square root of 2123321000 is about 46079.5073758390. The cubic root of 2123321000 is about 1285.3021036180.

Adding to 2123321000 its reverse (1233212), we get a palindrome (2124554212).

The spelling of 2123321000 in words is "two billion, one hundred twenty-three million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 449 500 898 1000 1796 2245 3592 4490 4729 8980 9458 11225 17960 18916 22450 23645 37832 44900 47290 56125 89800 94580 112250 118225 189160 224500 236450 449000 472900 591125 945800 1182250 2123321 2364500 4246642 4729000 8493284 10616605 16986568 21233210 42466420 53083025 84932840 106166050 212332100 265415125 424664200 530830250 1061660500 2123321000