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312133422021 = 32937101960059
BaseRepresentation
bin1001000101011001001…
…10100000101111000101
31002211200010002201200220
410202230212200233011
520103222124001041
6355220410254553
731356646211511
oct4425446405705
91084603081626
10312133422021
111104141a7903
12505b0a27459
1323584809675
1411170771141
1581bc9d6d66
hex48ac9a0bc5

312133422021 has 32 divisors (see below), whose sum is σ = 446543107200. Its totient is φ = 193547692800.

The previous prime is 312133421987. The next prime is 312133422059. The reversal of 312133422021 is 120224331213.

It is not a de Polignac number, because 312133422021 - 210 = 312133420997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312133421982 and 312133422000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133422121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154911 + ... + 805148.

It is an arithmetic number, because the mean of its divisors is an integer number (13954472100).

Almost surely, 2312133422021 is an apocalyptic number.

It is an amenable number.

312133422021 is a deficient number, since it is larger than the sum of its proper divisors (134409685179).

312133422021 is a wasteful number, since it uses less digits than its factorization.

312133422021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960229.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312133422021 its reverse (120224331213), we get a palindrome (432357753234).

The spelling of 312133422021 in words is "three hundred twelve billion, one hundred thirty-three million, four hundred twenty-two thousand, twenty-one".

Divisors: 1 3 29 37 87 101 111 303 1073 2929 3219 3737 8787 11211 108373 325119 960059 2880177 27841711 35522183 83525133 96965959 106566549 290897877 1030143307 2812012811 3090429921 3587740483 8436038433 10763221449 104044474007 312133422021