Search a number
-
+
312343234120401 = 31175712503231821
BaseRepresentation
bin100011100000100110001001…
…1100001001000101011010001
31111221220201111000120121001020
41013001030103201020223101
5311414412420413323101
63024144300104430053
7122535024341415261
oct10701142341105321
91457821430517036
10312343234120401
1190582026987140
122b046265178329
1310538ac0a2c963
14571b6c94717a1
152619b6e813136
hex11c1313848ad1

312343234120401 has 16 divisors (see below), whose sum is σ = 454917586611648. Its totient is φ = 189048865118400.

The previous prime is 312343234120369. The next prime is 312343234120409. The reversal of 312343234120401 is 104021432343213.

It is not a de Polignac number, because 312343234120401 - 25 = 312343234120369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (312343234120409) 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 15 ways as a sum of consecutive naturals, for example, 6251590930 + ... + 6251640891.

It is an arithmetic number, because the mean of its divisors is an integer number (28432349163228).

Almost surely, 2312343234120401 is an apocalyptic number.

It is an amenable number.

312343234120401 is a deficient number, since it is larger than the sum of its proper divisors (142574352491247).

312343234120401 is a wasteful number, since it uses less digits than its factorization.

312343234120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503232592.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 312343234120401 its reverse (104021432343213), we get a palindrome (416364666463614).

The spelling of 312343234120401 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-four million, one hundred twenty thousand, four hundred one".

Divisors: 1 3 11 33 757 2271 8327 24981 12503231821 37509695463 137535550031 412606650093 9464946488497 28394839465491 104114411373467 312343234120401