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838400121 = 3213291032399
BaseRepresentation
bin110001111110001…
…111100001111001
32011102121010202100
4301332033201321
53204112300441
6215105454013
726530166136
oct6176174171
92142533670
10838400121
113a0289469
121b4941309
13104909460
147d4c358d
154d90ecb6
hex31f8f879

838400121 has 48 divisors (see below), whose sum is σ = 1362816000. Its totient is φ = 493105536.

The previous prime is 838400119. The next prime is 838400141. The reversal of 838400121 is 121004838.

It is not a de Polignac number, because 838400121 - 21 = 838400119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (838400141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348280 + ... + 350678.

It is an arithmetic number, because the mean of its divisors is an integer number (28392000).

Almost surely, 2838400121 is an apocalyptic number.

It is an amenable number.

838400121 is a deficient number, since it is larger than the sum of its proper divisors (524415879).

838400121 is a wasteful number, since it uses less digits than its factorization.

838400121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 838400121 is about 28955.1398028053. The cubic root of 838400121 is about 942.9393884079.

Adding to 838400121 its reverse (121004838), we get a palindrome (959404959).

The spelling of 838400121 in words is "eight hundred thirty-eight million, four hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 103 117 261 309 377 927 1131 1339 2399 2987 3393 4017 7197 8961 12051 21591 26883 31187 38831 69571 93561 116493 208713 247097 280683 349479 626139 741291 904423 2223873 2713269 3212261 7165813 8139807 9636783 21497439 28910349 64492317 93155569 279466707 838400121