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301400024121 = 327331128911213
BaseRepresentation
bin1000110001011001101…
…01110110010000111001
31001210222002022121210100
410120230311312100321
514414231401232441
6350243344310013
730526654635330
oct4305465662071
91053862277710
10301400024121
11106906502129
124a4b6312309
1322563bb8351
141083305cd17
157c9055acb6
hex462cd76439

301400024121 has 48 divisors (see below), whose sum is σ = 499484119680. Its totient is φ = 171559745280.

The previous prime is 301400024119. The next prime is 301400024147. The reversal of 301400024121 is 121420004103.

301400024121 is a `hidden beast` number, since 3 + 0 + 1 + 400 + 0 + 241 + 21 = 666.

It is not a de Polignac number, because 301400024121 - 21 = 301400024119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 301400024094 and 301400024103.

It is not an unprimeable number, because it can be changed into a prime (301400024161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26873911 + ... + 26885123.

It is an arithmetic number, because the mean of its divisors is an integer number (10405919160).

Almost surely, 2301400024121 is an apocalyptic number.

It is an amenable number.

301400024121 is a deficient number, since it is larger than the sum of its proper divisors (198084095559).

301400024121 is a wasteful number, since it uses less digits than its factorization.

301400024121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 301400024121 its reverse (121420004103), we get a palindrome (422820028224).

The spelling of 301400024121 in words is "three hundred one billion, four hundred million, twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 331 993 1289 2317 2979 3867 6951 9023 11213 11601 20853 27069 33639 78491 81207 100917 235473 426659 706419 1279977 2986613 3711503 3839931 8959839 11134509 14453557 25980521 26879517 33403527 43360671 77941563 101174899 130082013 233824689 303524697 910574091 4784127367 14352382101 33488891569 43057146303 100466674707 301400024121