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312332200014021 = 311157311919328039
BaseRepresentation
bin100011100000100001000000…
…1110101010111000011000101
31111221212200000000221220122120
41013001002001311113003011
5311414222321200422041
63024135233141320153
7122534154036152025
oct10701020165270305
91457780000856576
10312332200014021
1190578384473760
122b0440a5a06059
1310537a52a23225
14571ad5dc43a85
152619725c88366
hex11c1081d570c5

312332200014021 has 32 divisors (see below), whose sum is σ = 457341628723200. Its totient is φ = 188026246150080.

The previous prime is 312332200013963. The next prime is 312332200014049. The reversal of 312332200014021 is 120410002233213.

It is not a de Polignac number, because 312332200014021 - 26 = 312332200013957 is a prime.

It is a super-3 number, since 3×3123322000140213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312332200013982 and 312332200014000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332200014221) 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 31 ways as a sum of consecutive naturals, for example, 6495520 + ... + 25823558.

It is an arithmetic number, because the mean of its divisors is an integer number (14291925897600).

Almost surely, 2312332200014021 is an apocalyptic number.

It is an amenable number.

312332200014021 is a deficient number, since it is larger than the sum of its proper divisors (145009428709179).

312332200014021 is a wasteful number, since it uses less digits than its factorization.

312332200014021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331329.

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

Adding to 312332200014021 its reverse (120410002233213), we get a palindrome (432742202247234).

The spelling of 312332200014021 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred million, fourteen thousand, twenty-one".

Divisors: 1 3 11 33 157 471 1727 3119 5181 9357 34309 102927 489683 1469049 5386513 16159539 19328039 57984117 212608429 637825287 3034502123 9103506369 33379523353 60284153641 100138570059 180852460923 663125690051 1989377070153 9464612121637 28393836364911 104110733338007 312332200014021