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312404121102031 = 773611358358321
BaseRepresentation
bin100011100001000010100000…
…0101010100010011011001111
31111222010112122100011201211221
41013002011000222202123033
5311421412120000231111
63024232245540024211
7122542311231261250
oct10702050052423317
91458115570151757
10312404121102031
11905a5931004672
122b056018092067
1310541775175b3a
145720623a52b27
15261b534d70371
hex11c2140aa26cf

312404121102031 has 8 divisors (see below), whose sum is σ = 361924148126624. Its totient is φ = 264106810794240.

The previous prime is 312404121101971. The next prime is 312404121102043. The reversal of 312404121102031 is 130201121404213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312404121102031 - 27 = 312404121101903 is a prime.

It is a super-3 number, since 3×3124041211020313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312404121101987 and 312404121102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404121102091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305679178650 + ... + 305679179671.

It is an arithmetic number, because the mean of its divisors is an integer number (45240518515828).

Almost surely, 2312404121102031 is an apocalyptic number.

312404121102031 is a deficient number, since it is larger than the sum of its proper divisors (49520027024593).

312404121102031 is an equidigital number, since it uses as much as digits as its factorization.

312404121102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611358358401.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312404121102031 its reverse (130201121404213), we get a palindrome (442605242506244).

The spelling of 312404121102031 in words is "three hundred twelve trillion, four hundred four billion, one hundred twenty-one million, one hundred two thousand, thirty-one".

Divisors: 1 7 73 511 611358358321 4279508508247 44629160157433 312404121102031