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2121213040 = 24571373453
BaseRepresentation
bin111111001101111…
…0010010001110000
312110211102210020221
41332123302101300
513321012304130
6550252542424
7103365004402
oct17633622160
95424383227
102121213040
11999407831
124b2481a14
1327a60745b
14161a0cb72
15c635787a
hex7e6f2470

2121213040 has 40 divisors (see below), whose sum is σ = 5001295968. Its totient is φ = 836532480.

The previous prime is 2121213007. The next prime is 2121213041. The reversal of 2121213040 is 403121212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21212130402 = 8999089522132083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121213041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 181047 + ... + 192406.

Almost surely, 22121213040 is an apocalyptic number.

2121213040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121213040 is an abundant number, since it is smaller than the sum of its proper divisors (2880082928).

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

2121213040 is a wasteful number, since it uses less digits than its factorization.

2121213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373537 (or 373531 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2121213040 is about 46056.6286217304. The cubic root of 2121213040 is about 1284.8766282258.

Adding to 2121213040 its reverse (403121212), we get a palindrome (2524334252).

The spelling of 2121213040 in words is "two billion, one hundred twenty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 373453 746906 1493812 1867265 2987624 3734530 5975248 7469060 14938120 26515163 29876240 53030326 106060652 132575815 212121304 265151630 424242608 530303260 1060606520 2121213040