Search a number
-
+
312202011414321 = 32713528136631807
BaseRepresentation
bin100011011111100100011000…
…1111111010000111100110001
31111221102012221222010210212200
41012333020301333100330301
5311410104204410224241
63023555342444013413
7122521564612261230
oct10677106177207461
91457365858123780
10312202011414321
1190528147398906
122b022a11b31269
13105286a5a56452
14571492d6c2b17
1526161565bd4b6
hex11bf231fd0f31

312202011414321 has 24 divisors (see below), whose sum is σ = 515384921985024. Its totient is φ = 178399825764480.

The previous prime is 312202011414299. The next prime is 312202011414343. The reversal of 312202011414321 is 123414110202213.

312202011414321 is a `hidden beast` number, since 3 + 1 + 2 + 20 + 201 + 1 + 4 + 1 + 432 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (312202011414299) and next prime (312202011414343).

It is not a de Polignac number, because 312202011414321 - 211 = 312202011412273 is a prime.

It is a super-2 number, since 2×3122020114143212 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312202011418321) 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, 9793201 + ... + 26838606.

It is an arithmetic number, because the mean of its divisors is an integer number (21474371749376).

Almost surely, 2312202011414321 is an apocalyptic number.

It is an amenable number.

312202011414321 is a deficient number, since it is larger than the sum of its proper divisors (203182910570703).

312202011414321 is a wasteful number, since it uses less digits than its factorization.

312202011414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36767101 (or 36767098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312202011414321 its reverse (123414110202213), we get a palindrome (435616121616534).

The spelling of 312202011414321 in words is "three hundred twelve trillion, two hundred two billion, eleven million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 135281 405843 946967 1217529 2840901 8522703 36631807 109895421 256422649 329686263 769267947 2307803841 4955587482767 14866762448301 34689112379369 44600287344903 104067337138107 312202011414321