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312321200121 = 32741988713339
BaseRepresentation
bin1001000101101111100…
…10110100111111111001
31002212011012102211211100
410202313302310333321
520104113211400441
6355251155122013
731364416253520
oct4426762647771
91085135384740
10312321200121
111105001a2317
12506438a3309
13235b46a4978
141118b6914b7
1581ce229cb6
hex48b7cb4ff9

312321200121 has 48 divisors (see below), whose sum is σ = 517429785600. Its totient is φ = 177829258464.

The previous prime is 312321200111. The next prime is 312321200137. The reversal of 312321200121 is 121002123213.

312321200121 is a `hidden beast` number, since 312 + 32 + 1 + 200 + 121 = 666.

It is not a de Polignac number, because 312321200121 - 214 = 312321183737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312321200094 and 312321200103.

It is not an unprimeable number, because it can be changed into a prime (312321200111) 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, 23407470 + ... + 23420808.

It is an arithmetic number, because the mean of its divisors is an integer number (10779787200).

Almost surely, 2312321200121 is an apocalyptic number.

It is an amenable number.

312321200121 is a deficient number, since it is larger than the sum of its proper divisors (205108585479).

312321200121 is a wasteful number, since it uses less digits than its factorization.

312321200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14658 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312321200121 its reverse (121002123213), we get a palindrome (433323323334).

The spelling of 312321200121 in words is "three hundred twelve billion, three hundred twenty-one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 419 887 1257 2661 2933 3771 6209 7983 8799 13339 18627 26397 40017 55881 93373 120051 280119 371653 840357 1114959 2601571 3344877 5589041 7804713 11831693 16767123 23414139 35495079 39123287 50301369 82821851 106485237 117369861 248465553 352109583 745396659 4957479367 14872438101 34702355569 44617314303 104107066707 312321200121