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312343313203441 = 13217661110384537
BaseRepresentation
bin100011100000100110001100…
…0001110110100000011110001
31111221220201200112101102120201
41013001030120032310003301
5311414413101140002231
63024144312011435201
7122535026321542132
oct10701143016640361
91457821615342521
10312343313203441
1190582067591423
122b046287755b01
1310538b0422b860
14571b6d5b79c89
152619b76735161
hex11c13183b40f1

312343313203441 has 8 divisors (see below), whose sum is σ = 336371270342184. Its totient is φ = 288315577269120.

The previous prime is 312343313203403. The next prime is 312343313203499. The reversal of 312343313203441 is 144302313343213.

It can be written as a sum of positive squares in 4 ways, for example, as 1056537294400 + 311286775909041 = 1027880^2 + 17643321^2 .

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 312343313203441 - 215 = 312343313170673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312343313203441.

It is not an unprimeable number, because it can be changed into a prime (312343373203441) 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, 52362676 + ... + 58021861.

It is an arithmetic number, because the mean of its divisors is an integer number (42046408792773).

Almost surely, 2312343313203441 is an apocalyptic number.

It is an amenable number.

312343313203441 is a deficient number, since it is larger than the sum of its proper divisors (24027957138743).

312343313203441 is a wasteful number, since it uses less digits than its factorization.

312343313203441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110602211.

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 312343313203441 its reverse (144302313343213), we get a palindrome (456645626546654).

The spelling of 312343313203441 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred thirteen million, two hundred three thousand, four hundred forty-one".

Divisors: 1 13 217661 2829593 110384537 1434998981 24026408707957 312343313203441