Search a number
-
+
312142133000421 = 32101394787000427
BaseRepresentation
bin100011011111001000100000…
…0111101001111100011100101
31111221012111101221100012220100
41012332101000331033203211
5311403114042022003141
63023512041041454313
7122514345020202033
oct10676210075174345
91457174357305810
10312142133000421
119050480a606229
122b0132a0941399
1310522b5255a0c9
145711a8d03d553
1526147ee8860b6
hex11be440f4f8e5

312142133000421 has 24 divisors (see below), whose sum is σ = 455451416600544. Its totient is φ = 205982208597600.

The previous prime is 312142133000393. The next prime is 312142133000443. The reversal of 312142133000421 is 124000331241213.

312142133000421 is a `hidden beast` number, since 3 + 1 + 21 + 4 + 213 + 3 + 0 + 0 + 0 + 421 = 666.

It is not a de Polignac number, because 312142133000421 - 29 = 312142132999909 is a prime.

It is a super-2 number, since 2×3121421330004212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142133001421) 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, 39912391 + ... + 47088036.

It is an arithmetic number, because the mean of its divisors is an integer number (18977142358356).

Almost surely, 2312142133000421 is an apocalyptic number.

It is an amenable number.

312142133000421 is a deficient number, since it is larger than the sum of its proper divisors (143309283600123).

312142133000421 is a wasteful number, since it uses less digits than its factorization.

312142133000421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87004481 (or 87004478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312142133000421 its reverse (124000331241213), we get a palindrome (436142464241634).

The spelling of 312142133000421 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 101 303 909 3947 11841 35523 398647 1195941 3587823 87000427 261001281 783003843 8787043127 26361129381 79083388143 343390685369 1030172056107 3090516168321 34682459222269 104047377666807 312142133000421