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2121213000 = 23353707071
BaseRepresentation
bin111111001101111…
…0010010001001000
312110211102210012110
41332123302101020
513321012304000
6550252542320
7103365004314
oct17633622110
95424383173
102121213000
119994077a5
124b24819a0
1327a60742a
14161a0cb44
15c6357850
hex7e6f2448

2121213000 has 64 divisors (see below), whose sum is σ = 6618193920. Its totient is φ = 565656000.

The previous prime is 2121212993. The next prime is 2121213007. The reversal of 2121213000 is 3121212.

2121213000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2121212993) and next prime (2121213007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121213007) 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, 350536 + ... + 356535.

It is an arithmetic number, because the mean of its divisors is an integer number (103409280).

Almost surely, 22121213000 is an apocalyptic number.

2121213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121213000 is an abundant number, since it is smaller than the sum of its proper divisors (4496980920).

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

2121213000 is a wasteful number, since it uses less digits than its factorization.

2121213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707095 (or 707081 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121213000 is about 46056.6281874824. The cubic root of 2121213000 is about 1284.8766201494.

Adding to 2121213000 its reverse (3121212), we get a palindrome (2124334212).

The spelling of 2121213000 in words is "two billion, one hundred twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 707071 1414142 2121213 2828284 3535355 4242426 5656568 7070710 8484852 10606065 14141420 16969704 17676775 21212130 28282840 35353550 42424260 53030325 70707100 84848520 88383875 106060650 141414200 176767750 212121300 265151625 353535500 424242600 530303250 707071000 1060606500 2121213000