Search a number
-
+
312132101311233 = 3276397774500203
BaseRepresentation
bin100011011111000011110101…
…1000001011000101100000001
31111221011112111210221121101100
41012332013223001120230001
5311402433020413424413
63023503301403525013
7122513541306224550
oct10676075301305401
91457145453847340
10312132101311233
1190500531a17705
122b011361229769
1310521c14125b48
1457113ba9cbd97
152614413d18a73
hex11be1eb058b01

312132101311233 has 24 divisors (see below), whose sum is σ = 515346239739968. Its totient is φ = 178333318511712.

The previous prime is 312132101311223. The next prime is 312132101311237. The reversal of 312132101311233 is 332113101231213.

312132101311233 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 321 + 0 + 1 + 311 + 23 + 3 = 666.

It is not a de Polignac number, because 312132101311233 - 29 = 312132101310721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132101311197 and 312132101311206.

It is not an unprimeable number, because it can be changed into a prime (312132101311237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386847091 + ... + 387653112.

Almost surely, 2312132101311233 is an apocalyptic number.

It is an amenable number.

312132101311233 is a deficient number, since it is larger than the sum of its proper divisors (203214138428735).

312132101311233 is a wasteful number, since it uses less digits than its factorization.

312132101311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774506613 (or 774506610 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 312132101311233 its reverse (332113101231213), we get a palindrome (644245202542446).

The spelling of 312132101311233 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred one million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 6397 19191 44779 57573 134337 403011 774500203 2323500609 5421501421 6970501827 16264504263 48793512789 4954477798591 14863433395773 34681344590137 44590300187319 104044033770411 312132101311233