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2121213300 = 2235267105533
BaseRepresentation
bin111111001101111…
…0010010101110100
312110211102210121120
41332123302111310
513321012311200
6550252543540
7103365005223
oct17633622564
95424383546
102121213300
11999407a48
124b2481bb0
1327a6075cb
14161a0ccba
15c63579a0
hex7e6f2574

2121213300 has 72 divisors (see below), whose sum is σ = 6229038816. Its totient is φ = 557208960.

The previous prime is 2121213271. The next prime is 2121213313. The reversal of 2121213300 is 33121212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121213300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32667 + ... + 72866.

It is an arithmetic number, because the mean of its divisors is an integer number (86514428).

Almost surely, 22121213300 is an apocalyptic number.

2121213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121213300 is an abundant number, since it is smaller than the sum of its proper divisors (4107825516).

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

2121213300 is a wasteful number, since it uses less digits than its factorization.

2121213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105617 (or 105610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2121213300 is about 46056.6314443425. The cubic root of 2121213300 is about 1284.8766807222.

Adding to 2121213300 its reverse (33121212), we get a palindrome (2154334512).

The spelling of 2121213300 in words is "two billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 105533 211066 316599 422132 527665 633198 1055330 1266396 1582995 2110660 2638325 3165990 5276650 6331980 7070711 7914975 10553300 14141422 15829950 21212133 28282844 31659900 35353555 42424266 70707110 84848532 106060665 141414220 176767775 212121330 353535550 424242660 530303325 707071100 1060606650 2121213300