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213400121 = 11412691759
BaseRepresentation
bin11001011100000…
…11101000111001
3112212112211221012
430232003220321
5414112300441
633101523305
75200604534
oct1456035071
9485484835
10213400121
11aa505740
125b573535
133529967c
14204ada1b
1513b049eb
hexcb83a39

213400121 has 16 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 188457600.

The previous prime is 213400087. The next prime is 213400139. The reversal of 213400121 is 121004312.

213400121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213400121 is a prime.

It is a super-2 number, since 2×2134001212 = 91079223285629282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213400096 and 213400105.

It is not an unprimeable number, because it can be changed into a prime (213400151) 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, 120440 + ... + 122198.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2213400121 is an apocalyptic number.

It is an amenable number.

213400121 is a deficient number, since it is larger than the sum of its proper divisors (26100679).

213400121 is a wasteful number, since it uses less digits than its factorization.

213400121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 213400121 is about 14608.2210073643. The cubic root of 213400121 is about 597.5829810697.

Adding to 213400121 its reverse (121004312), we get a palindrome (334404433).

The spelling of 213400121 in words is "two hundred thirteen million, four hundred thousand, one hundred twenty-one".

Divisors: 1 11 41 269 451 1759 2959 11029 19349 72119 121319 473171 793309 5204881 19400011 213400121